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

[21] Existence of Solutions for the Dirichlet Problem with Superlinear Nonlinearities
Andrzej Nowakowski
Andrzej Rogowski
Czechoslovak Mathematical Journal, 2003, 53 : 515 - 528
[22] Existence of solutions for the Dirichlet problem with superlinear nonlinearities
Nowakowski, A
Rogowski, A
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, 53 (03) : 515 - 528
[23] EXISTENCE, UNIQUENESS AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A FRACTIONAL PROBLEM WITH COMBINED NONLINEARITIES
Mofarreh, Fatemah
Hamiaz, Adnane
Khamessi, Bilel
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (04) : 1387 - 1398
[24] The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations
Dai, Limei
ANALYSIS IN THEORY AND APPLICATIONS, 2023, 39 (02): : 120 - 146
[25] EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A NONLINEAR PSEUDOPARABOLIC EQUATION
Le Thi Phuong Ngoc
Dao Thi Hai Yen
Nguyen Thanh Long
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[26] Asymptotic behavior of solutions to the Dirichlet problem for parabolic equations in domains with singularities
Arefev, VN
Bagirov, LA
MATHEMATICAL NOTES, 1996, 59 (1-2) : 10 - 17
[27] Positive solutions for a Dirichlet problem
Zhou Huansong
Acta Mathematicae Applicatae Sinica, 2001, 17 (3) : 340 - 349
[28] The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations
Dai, Limei
ANALYSIS IN THEORY AND APPLICATIONS, 2022,
[29] POSITIVE SOLUTIONS FOR A DIRICHLET PROBLEM
周焕松
Acta Mathematicae Applicatae Sinica(English Series), 2001, (03) : 340 - 349
[30] ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES
Adachi, Shinji
Shibata, Masataka
Watanabe, Tatsuya
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (01) : 97 - 118

← 1 2 3 4 5 →