On an elliptic equation with exponential growth
J. A. Aguilar Crespo; I. Peral Alonso
Rendiconti del Seminario Matematico della Università di Padova (1996)
- Volume: 96, page 143-175
- ISSN: 0041-8994
Access Full Article
topHow to cite
topAguilar Crespo, J. A., and Peral Alonso, I.. "On an elliptic equation with exponential growth." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 143-175. <http://eudml.org/doc/108406>.
@article{AguilarCrespo1996,
author = {Aguilar Crespo, J. A., Peral Alonso, I.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {multiplicity; -Laplacian; exponential growth; minimal solution; nonexistence of positive solutions},
language = {eng},
pages = {143-175},
publisher = {Seminario Matematico of the University of Padua},
title = {On an elliptic equation with exponential growth},
url = {http://eudml.org/doc/108406},
volume = {96},
year = {1996},
}
TY - JOUR
AU - Aguilar Crespo, J. A.
AU - Peral Alonso, I.
TI - On an elliptic equation with exponential growth
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 143
EP - 175
LA - eng
KW - multiplicity; -Laplacian; exponential growth; minimal solution; nonexistence of positive solutions
UR - http://eudml.org/doc/108406
ER -
References
top- [AR] A. Ambrosetti - P.H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Abal., 14 (1973), pp. 349-381. Zbl0273.49063MR370183
- [An] A. Anane, Simplicite et isolation de la première valeur propre du p-laplacien avec poids, C. R. Acad. Sci. Paris, Série I, 305 (1987), pp. 725-728. Zbl0633.35061MR920052
- [Bd] C. Bandle, Existence theorems. Qualitative results and a priori bounds for a class of nonlinear Dirichlet problems, Arch. Rational Mech. Anal., 49 (1973), pp. 241-269. Zbl0335.35046MR454336
- [B1] G. Barles, Remarks on the uniqueness results of the first eigenvalue of the p-laplaccian, Ann. Fac. Science de Toulousse, Serie 5, 1 (1988), pp. 65-75. Zbl0621.35068MR971814
- [Br] H. Brézis, Analyse fonctionelle, Masson (1983). Zbl0511.46001MR697382
- [BPV] L. Boccardo - I. Peral - J.L. Vázquez, Some remarks on the N-Laplacian, preprint.
- [BM] H. Brézis - F. Merle, Uniform estimates and blow-up behavior for solutions of - Δu = V(x) eu in two dimensions, Commu. in P.D.E., 16, nn. 8-9 (1992), pp. 1223-1253. Zbl0746.35006
- [Ch] S. Chandrasekar, An Introduction ot the Study of Stellar Structure, Dover Publ. Inc. (1985). Zbl0079.23901
- [DiB] E. Di Benedetto, C1,α local regularity of weak solutions of degenerate elliptic equations, Nonlinear analysis. Theory, Methods and Applications, 7, n. 8 (1983), pp. 827-850. Zbl0539.35027
- [FK] D.A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics, Plenum Press (1969).
- [F] H. Fujita, On the nonlinear equation Δu + exp u = 0 and vt = Δu + + exp u, Bull. A.M.S., 75 (1969), pp. 132-135. Zbl0216.12101
- [Ge] I.M. Guelfand, Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl. (Ser. 2), 29 (1963), pp. 295-381. Zbl0127.04901MR153960
- [GMP] T. Gallouet - F. Mignot - J.P. Puel, Quelques résultats sur le problème - Δu = exp u, C. R. Acad. Sci. Paris, 307 (1988), pp. 289-292. Zbl0697.35048
- [GP] J. Garcia Azozero - I. Peral Alonso, On a Emden-Fowler type equation, Nonlinear Analysis T.M.A., 18, n. 11 (1992), pp. 1085-1097. Zbl0781.35021MR1167423
- [GPP] J. Garcia Azozero - I. Peral Alonso - J.P. Puel, Quasilinear problems with exponential growth in the reaction term, Nonlinear Analysis T.M.A., 22, n. 4 (1994), pp. 481-498. Zbl0804.35037MR1266373
- [GT] D. Gilbarg - N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York (1983). Zbl0361.35003MR737190
- [JL] D. Joseph - T.S. Lundgren, Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal., 49 (1973), pp. 241-269. Zbl0266.34021MR340701
- [KW] J.L. Kazdan - J.L.W. Warner, Curvature functions for compact 2-manifolds, Ann. Math., 99 (1974), pp. 14-47. Zbl0273.53034MR343205
- [L] P. Lindqvist, On the equation div(|∇u|p-2∇u) + λ|μ|p-2 = 0, Proc. Amer. Math. Soc., 109, n. 1 (1990), pp. 157-164. Zbl0714.35029
- [MP1] F. Mignot - J.P. Puel, Sur une classe de probleme non lineaire avec non linearite positive, crossante, convexe, Communication in P.D.E., 5 (8) (1980), pp. 791-836. Zbl0456.35034MR583604
- [MP2] F. Mignot - J.P. Puel, Solution radiale singuliere de - Δu = λeu, C. R. Acad. Sci. Paris, Série I, 307 (1988), pp. 379-382. Zbl0683.35032
- [S] G. Stampacchia, Equations Elliptiques du Second Ordre a Coefficients Discontinus, LesPresses de l'Université deMontreal (1965). Zbl0151.15501MR251373
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.