Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities

被引：0

作者：

Anello, Giovanni ^{[1
]}

Rao, Giuseppe ^{[2
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Viale F Stagno Alcontres 31, I-98166 Messina, Italy

[2] Univ Palermo, Dept Math, I-90123 Palermo, Italy

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2013年 / 54卷 / 04期

关键词：

elliptic boundary value problems; positive solutions; variational methods; asymptotic behavior; combined nonlinearities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 1, q > p, lambda > 0 and s is an element of] 1, p[. We study, for s -> p(-), the behavior of positive solutions of the problem -Delta(p)u= lambda u(s-1) + u(q-1) in Omega, u vertical bar delta Omega= 0. In particular, we give a positive answer to an open question formulated in a recent paper of the first author.

引用

页码：485 / 491

页数：7

共 50 条

[31] Asymptotic behavior of solutions of Dirichlet problems
dalMaso, G
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11A (02): : 253 - 277
[32] Multiplicity and asymptotic behavior of nonnegative solutions for elliptic problems involving nonlinearities indefinite in sign
Anello, Giovanni
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (08) : 3618 - 3628
[33] POSITIVE RADIAL SOLUTIONS INVOLVING NONLINEARITIES WITH ZEROS
Flores, Isabel
Franca, Matteo
Iturriaga, Leonelo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (05) : 2555 - 2579
[34] Asymptotic behavior of positive solutions of the integral system involving M equations
Li, Ling
ACTA MATHEMATICA SCIENTIA, 2025, 45 (03) : 1137 - 1154
[35] ON THE ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM IN A DOMAIN WITH A THIN TUBE EXCLUDED
MAZYA, VG
NAZAROV, SA
PLAMENEVSKII, BA
RUSSIAN MATHEMATICAL SURVEYS, 1981, 36 (05) : 169 - 170
[36] ASYMPTOTIC SOLUTIONS FOR A DIRICHLET PROBLEM WITH AN EXPONENTIAL NONLINEARITY
MOSELEY, JL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (04) : 719 - 735
[37] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE POISSON EQUATION ON MODEL RIEMANNIAN MANIFOLDS
Losev, A. G.
Mazepa, E. A.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2022, 19 (01): : 66 - 80
[38] Existence and asymptotic behavior of normalized solutions for the mass supercritical fractional Kirchhoff equations with general nonlinearities
Shu, Min
Chen, Haibo
Yang, Jie
AIMS MATHEMATICS, 2025, 10 (01): : 499 - 533
[39] Exact boundary behavior of positive large solutions of a nonlinear Dirichlet problem
Khamessi, Bilel
Ben Othman, Sonia
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 187 : 307 - 319
[40] Existence and asymptotic behavior of positive solutions to p(x)-Laplacian equations with singular nonlinearities
Zhang, Qihu
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)

← 1 2 3 4 5 →