SOME RECENT RESULTS ON THE DIRICHLET PROBLEM FOR (p, q)-LAPLACE EQUATIONS

被引：70

作者：

Marano, Salvatore A. ^{[1
]}

Mosconi, Sunra J. N. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2018年 / 11卷 / 02期

关键词：

(p; q)-Laplace operator; constant-sign; nodal solution; eigenvalue problem; coercive; resonant; critical; asymmetric nonlinearity; Q-LAPLACIAN PROBLEM; NONTRIVIAL SOLUTION; ELLIPTIC PROBLEMS; SUPERLINEAR (P; EXISTENCE; MULTIPLICITY; GROWTH; SIGN;

D O I：

10.3934/dcdss.2018015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with (p, q)-Laplacian in a bounded domain is performed. Both eigenvalue problems and different types of perturbation terms are briefly discussed. Special attention is paid to possibly coercive, resonant, subcritical, critical, or asymmetric right-hand sides.

引用

页码：279 / 291

页数：13

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