Multiple nontrivial solutions for semilinear elliptic problems

被引：1

作者：

Barletta, Giuseppina ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Reggio Calabria, Dipartimento Patrimonio Architetton & Urbanist, Fac Architettura, I-89124 Reggio Di Calabria, Italy

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 10期

关键词：

Multiple solutions; Solutions of constant sign; Nodal solutions; Upper and lower solutions; Truncations; Critical point theory; Critical groups; Poincare-Hopf formula; BOUNDARY-VALUE-PROBLEMS; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; SOLUTIONS THEOREMS; EQUATIONS; RESONANCE; SPACES;

D O I：

10.1016/j.na.2009.03.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of multiple constant sign and nodal (sign-changing) solutions for semilinear elliptic equations. Our approach is based on a combination of variational techniques using critical point theory, of the method of upper-lower solutions and of Morse theory (critical groups). We prove several multiplicity results. Our analytical framework incorporates both coercive and superlinear parametric problems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4321 / 4345

页数：25

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