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Publicaciones de Jorge García Melián |
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1. |
J. García Melián, J. Sabina de Lis, The behaviour of stationary
solutions to some nonlinear diffusion problems, Nonlinear Anal. T.M.A. 30
(8) (1997), 5499-5504. |
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2. |
J. García Melián, J. Sabina de Lis, Maximum and comparison principles for operators involving the p-Laplacian, J. Math. Anal. Appl. 218 (1998), 49-65. |
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3. |
J. García Melián, J. Sabina de Lis, Capas límite, núcleos muertos y principio de comparación en problemas de difusión no lineal, Actas del XV CEDYA-V CMA, Vol. II, 441-446. Servicio de publicaciones de la Universidad de Vigo, Colección Congresos (1998). |
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4. |
J. García Melián, R. Gómez Reñasco, J. López Gómez, J. Sabina de Lis, Point-wise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs, Arch. Rat. Mech. Anal. 145 (3) (1998), 261-289. |
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5. |
J. García Melián, J. Sabina de Lis, M. A. Sanabria García, Eigenvalue analysis of the p-Laplacian under convective perturbation, J. Comp. Appl. Math. 110 (1999), 73-91. |
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6. |
J. García Melián, J. Sabina de Lis, Fenómenos de bifurcación en problemas de difusión no lineal, Actas del XVI CEDYA-VI CMA, Vol II, 577-584. Eds. R. Montenegro, G. Montero y G. Winter. Universidad de Las Palmas de Gran Canaria (1999). |
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7. |
J. García Melián, J. Sabina de Lis, Unicidad de soluciones positivas para ecuaciones degeneradas en dominios con simetría radial, Actas del XVI CEDYA-VI CMA, Vol II, 577-584. Eds. R. Montenegro, G. Montero y G. Winter. Universidad de Las Palmas de Gran Canaria (1999). |
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8 |
J. García Melián, J. Sabina de Lis, Stationary profiles of
degenerate problems when a parameter is large, Differential Integral
Equations 13 (10-12) (2000), 1201-1232.
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9. |
J. García Melián, J. Sabina de Lis, Stationary patterns to diffusion problems, Math. Meths. Appl. Sci 23 (16) (2000), 1467-1489. |
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10. |
J. García Melián, J. Sabina de Lis, Asymptotic
profiles of nonlinear diffusion problems,
Proceedings of the International Conference on Differential Equations (2
Vols.), pp. 1278-1281, Berlin 1999, B. Fiedler, K. Gröger
& J. Sprekels (Editors), World Scientific
Publishing Co., Singapore 2000. |
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11. |
J. García Melián, J. Sabina de Lis, Uniqueness to quasilinear problems for the p-Laplacian
in radially symmetric domains,
Nonlinear Anal. T.M.A. 43 (7) (2001), 803-835. |
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12. |
J. García
Melián, J. Sabina de Lis, On the
perturbation of eigenvalues for the p-Laplacian, Comptes Rendus Acad. Sci. Ser. I
Math. 332 (10) (2001), 893-898. |
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13. |
J. García
Melián, R. Letelier Albornoz, J. Sabina de Lis, Uniqueness and
asymptotic behaviour for solutions of semilinear
problems with boundary blow-up, Proc. Amer. Math. Soc. 129 (12) (2001), 3593-3602. |
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14. |
J.
García Melián, J. Sabina de Lis, Problemas elípticos bajo una condición de contorno
singular, Actas del XVII CEDYA-VII CMA (publicadas en CD-ROM). Universidad
de Salamanca. |
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15. |
J. García Melián, J. Sabina de Lis, A local bifurcation theorem for degenerate elliptic equations
with radial symmetry, J. Diff. Eqns. 179 (1) (2002), 27-43. |
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16. |
J.
García Melián, R. Letelier, J. Sabina de Lis, "Un problema logístico con blow-up
sobre la frontera: existencia, unicidad y expansión asintótica", Actas
VI Simposio Chileno de Matemáticas, pp. 66-70. Universidad de Magallanes,
Punta Arenas, Chile (2002). |
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17. |
J. García Melián, On the behaviour of the first eigenfunction of the p-Laplacian near its critical points, Bull. London Math. Soc. 35 (3) (2003), 391-400. |
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18. |
J. García Melián, A. Suárez, Existence and uniqueness of positive large solutions to some cooperative elliptic systems, Adv. Nonlinear Stud. 3 (2) (2003), 193-206. |
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19. |
J. García Melián, J. Sabina de Lis, Multiplicity of solutions to
a degenerate diffusion problem, Nonlinear Anal. 53 (7/8) (2003),
1063-1077. |
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20. |
M. Del Pino, J. García Melián, M. Musso, Local bifurcation from the second eigenvalue of the Laplacian in a square, Proc. Amer. Math. Soc. 131 (11) (2003), 3499-3505. |
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21. |
J. García Melián, R. Letelier Albornoz, J. Sabina de Lis, Blow-up en la frontera: sistemas elípticos de tipo competitivo, Actas del XVIII CEDYA/VIII CMA, Dpto. Matemática Aplicada de la Universidad Rovira i Virgili, Tarragona (CD-ROM) (2003). |
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22. |
J. García Melián, A remark on the existence of positive large solutions via sub and supersolutions, Electronic J. Diff. Eqns. 2003 (2003), no. 110, 1-4. |
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23. |
M. Chuaqui, C. Cortázar, M. Elgueta, C. Flores, J. García Melián, R. Letelier, On an elliptic problem with boundary blow up and a singular weight: the radial case, Proc. Roy. Soc. Edinburgh 133A (2003), 1283-1297. |
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24. |
J. García Melián, Uniqueness to degenerate elliptic sublinear problems in the absence of dead cores. Electronic J. Diff. Eqns. 2004 (2004), no. 110, 1-16. |
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25. |
J García Melián, J. Rossi, Boundary blow-up solutions to elliptic systems of competitive type, J. Diff. Eqns. 206 (2004), no. 1, 156-181. |
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26. |
M. Chuaqui, C. Cortázar, M. Elgueta, J. García Melián, Uniqueness and boundary behaviour
of large solutions to elliptic problems with singular weights, Communications on Pure and Applied
Analysis 3 (2004), no. 4, 653-662. |
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27. |
J. García Melián, J. Sabina de Lis, Remarks on large solutions. En "Spectral Theory and Nonlinear Analysis with Applications to Spatial Ecology". Eds. S. Cano-Casanova, J. López-Gómez, C. Mora-Corral. World Scientific Publishing, Singapore, 2005. |
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28. |
J. García Melián, J. D. Rossi, J. Sabina
de Lis, Difusión no lineal
cuando un parámetro grande perturba la condición de contorno, Actas del XIX CEDYA-IXCMA, Leganés,
España. Servicio de Publicaciones de la Univ. Carlos III, 2005. |
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29. |
J. García Melián, J. D. Rossi, J. Sabina de Lis, Semilinear
problems perturbed through the boundary condition. Actas
del Equadiff-11, Bratislava 2005 (M. Fila, A. Handlovicova,
K. Mikula, M. Medved, P. Quittner, D. Sevkovic, eds), 427-434 Vydavatel'sko
STU, Bratislava, 2005. |
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30. |
J. García Melián, Nondegeneracy and uniqueness for boundary
blow-up elliptic problems. J. Diff. Eqns. 223 (2006), 208-227. |
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31. |
J. García Melián, R. Letelier Albornoz, J. Sabina de Lis, The solvability of an elliptic
system under a singular boundary condition. Proc. Roy. Soc. Edinburgh 136 (2006),
509-546. |
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32. |
J. García Melián, J. D. Rossi, J. Sabina de Lis,
A bifurcation
problem governed by the boundary condition I. NoDEA Nonlinear Differential Equations and
Applications 14 (2007), 499-525. |
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33. |
J. García Melián, J. D. Rossi, J. Sabina de Lis, A bifurcation problem
governed by the boundary condition II. Proc. London Math. Soc. 94
(2007), 1-25. |
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34. |
J. García Melián, A remark on uniqueness of large solutions for elliptic systems of
competitive type. J. Math. Anal. Appl. 331 (2007), 608-616. |
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35. |
J. García Melián, Boundary behavior for large solutions to
elliptic equations with singular weights. Nonlinear Analysis 67 (2007),
818-826. |
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36. |
J. García Melián, Uniqueness for boundary blow-up problems with continuous weights.
Proc. Amer. Math. Soc. 135 (2007), 2785-2793. |
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37. |
J. García Melián, J. D. Rossi, A. Suárez, The competition between
incoming and outgoing fluxes in an elliptic problem. Comm. Contemp. Math.
9 (2007), 781-810. |
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38. |
J. García Melián, J. D. Rossi, J. Sabina de Lis,
Large
solutions to the p-Laplacian for large p. Calculus of Variations and P. D.
E. 31 (2008), 187-204. |
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39. |
J. García Melián, C. Morales Rodrigo, J. D. Rossi, A. Suárez, Nonnegative solutions to an elliptic problem with nonlinear
absorption and a nonlinear incoming flux on the boundary. Ann. Mat. Pura Appl. 187
(2008), 459-486. |
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40. |
J. García Melián, Large solutions for an elliptic system of quasilinear
equations. J. Diff. Eqns. 245
(2008), 3735-3752. |
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41. |
J. García Melián, J. D. Rossi, On the principal eigenvalue
of some nonlocal diffusion problems. J. Diff. Eqns. 246 (2009), 21-38. |
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42. |
J. García Melián, Quasilinear equations with boundary blow-up
and exponential reaction. Adv. Nonl. Stud. 9 (2009), 149-160. |
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43. |
J. García Melián, J. D. Rossi, J. Sabina de Lis,
Existence,
asymptotic behavior and uniqueness for large
solutions to |
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44. |
J. García Melián, Large solutions for equations
involving the p-Laplacian and singular weights. Z. angew. Math. Phys. 60 (2009), 594-607. |
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45. |
J. García Melián, J. D. Rossi, J. Sabina de
Lis, Large solutions
for the Laplacian with a power nonlinearity given by a variable exponent. Ann. Inst. H. Poincaré - AN 26 (2009), 889-902. |
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46. |
J. García Melián, J. D. Rossi, J. Sabina de
Lis, Existence
and uniqueness of positive solutions to elliptic problems with sublinear
mixed boundary conditions. Comm. Contemp. Math. 11
(2009), 585-613. |
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47. |
J. García Melián, J. Rossi, J. Sabina de Lis,
An elliptic system
with bifurcation parameters on the boundary condition. J.
Diff. Eqns. 247 (2009), 779-810. |
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48. |
J. García Melián, J. Rossi, A logistic equation with refuge and nonlocal
diffusion. Comm. Pure Appl. Anal. 8 (2009),
2037–2053. |
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49. |
J. García Melián, Uniqueness of positive solutions for a
boundary blow-up problem. J. Math. Anal. Appl. 360 (2009),
530-536. |
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50. |
J. García Melián, J. Rossi, Maximum and antimaximum principles for some
nonlocal diffusion operators. Nonlinear Anal. 71 (2009),
6116-6121. |
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51. |
C. Cortázar, M. Elgueta, J. García Melián, S.
Martínez, Existence and
asymptotic behavior of positive solutions to some inhomogeneous nonlocal
diffusion problems. SIAM J. Math. Anal. 41 (2009), 2136-2164. |
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52. |
J. García Melián, F. Quirós, Fujita exponents for evolution problems with
nonlocal diffusion. J.
Evol. Eqns. 10 (2010), 147-161. |
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53. |
J. García Melián, J. D. Rossi, J. Sabina de
Lis, Large solutions to an anisotropic
quasilinear elliptic problem. Ann. Mat. Pura Appl. 189 (2010),
689-712. |
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54. |
J. García Melián, J. Rossi, J. Sabina de Lis,
Layer profiles of
solutions to elliptic problems with parameter-dependent boundary conditions. Z.
Anal. Anwend. 29 (2010), 451-467. |
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55. |
J. García Melián, J. Rossi, J. Sabina de Lis, An application of the maximum principle to describe the layer behavior of large solutions and related problems. Manuscripta Math. 134 (2011), 183-214. |
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56. |
E. Colorado, J. García Melián, The behaviour of the principal eigenvalue of
a mixed elliptic problem with respect to a parameter. J. Math. Anal. Appl. 377 (2011),
53-69. |
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57. |
J.
García Melián,
J. Rossi, J. Sabina de Lis, Limit cases in an elliptic problem with a parameter-dependent
boundary condition. Asympt.
Anal. 73 (2011) 147–168. |
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58. |
J. García Melián, Multiplicity of positive
solutions to boundary blow up elliptic problems with sign-changing weights. J. Funct. Anal. 261 (2011),
1775–1798. |
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59. |
C.
Cortázar, M. Elgueta, J. García Melián, S. Martínez, Stationary sign changing solutions
for an inhomogeneous nonlocal problem. Indiana Univ. Math. J. Indiana Univ. Math.
J. 60 (2011), 209 – 232. |
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60. |
J. García Melián, J. D. Rossi, J.
Sabina de Lis, A
convex-concave problem with a parameter on the boundary condition. Discrete
Cont. Dyn. Syst. A 32 (2012) (4), 1095–1124. |
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61. |
S. Alarcón, J. García Melián, A. Quaas, Keller-Osserman
type conditions for some elliptic problems with gradient terms. J. Diff. Eqns. 252 (2012), 886–914. |
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62. |
J. García Melián, J. Sabina de Lis, A
boundary blow-up problem with a nonlocal reaction. Nonlinear Analysis 75 (2012), 2774–2792. |
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63. |
S. Alarcón, J. García Melián, A. Quaas, Existence and uniqueness of
solutions to nonlinear elliptic equations without growth conditions at
infinity. J. Anal. Math. 118
(2012), 83 –104. |
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64. |
S. Alarcón, J. García Melián, A. Quaas, Nonexistence
of supersolutions to some nonlinear elliptic problems. J. Math. Pures Appl. 99 (2013), 618 – 634. |
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65. |
S. Alarcón, J. García Melián, A. Quaas, Liouville type theorems for elliptic
equations with gradient terms. Milan J. Math. 81 (2013), 171 – 185. |
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66. |
S. Alarcón, J. García Melián, A. Quaas, Existence and non-existence of solutions to
elliptic equations with a general
convection term. Aceptado en Proc. Royal
Soc. Edinburgh. |
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67. |
J. García Melián, J. D. Rossi, J. Sabina de Lis,
Multiplicity of solutions to a nonlinear elliptic problem with
nonlinear boundary conditions. Aceptado en NoDEA. |
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