A class of multi-parameter eigenvalue problems for perturbed p-Laplacians

被引：2

作者：

Gungor, F. ^{[1
]}

Hasanov, M. ^{[1
]}

机构：

[1] Dogus Univ, Dept Math, TR-34722 Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 02期

关键词：

Travelling wave; Perturbed p-Laplacian; Eigenvalue; Eigenfunction; Variational principle; Critical point; Analytical and implicit solutions; ELLIPTIC-EQUATIONS; REGULARITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to multi-parameter eigenvalue problems for one-dimensional perturbed p-Laplacians, modelling travelling waves for a class of nonlinear evolution PDE. Dispersion relations between the eigen-parameters, the existence of eigenfunctions and positive eigenfunctions, variational principles for eigenvalues and constructing solutions in the analytical and implicit forms are the main subject of this paper. We use both variational and analytical methods. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：821 / 832

页数：12

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