Nonlinear Eigenvalue Problems for (p, 2)-Equations and Laplace Equations with Perturbations

被引：0
|
作者：
Bien, Krzysztof [1 ]
机构：
[1] AGH Univ Krakow, Fac Appl Math, Dept Math Anal Computat Math & Probabilist Methods, Al A Mickiewicza 30, PL-30059 Krakow, Poland
来源：
RESULTS IN MATHEMATICS | 2024年 / 79卷 / 04期
关键词：
Nonlinear eigenvalue problem; Palais-Smale condition; nonlinear operator; (p; 2)-equation; 2)-equation along the same line; continuous spectrum; Pucci-Serrin three critical point theorem; perturbation;
D O I：
10.1007/s00025-024-02176-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider two types of nonlinear eigenvalue problems involving Laplace and p-Laplace operators (p>2). The main result establishes the existence of at least two nontrivial weak solutions in the case of the perturbed equation and the existence of a continuous spectrum in the case of the (p,2)-equation. In both cases, variational methods play a central role in our arguments.
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页数：10
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