MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN-Reference-Cited by-同舟云学术

MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN

Published:2004-04 Issue:02 Volume:06 Page:245-258
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BARTSCH THOMAS¹,LIU ZHAOLI²

Affiliation:

1. Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany

2. Department of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. China

Abstract

We consider the eigenvalue problem [Formula: see text] where Ω⊂ℝN is a bounded smooth domain and Δpu denotes the p-Laplacian, 1<p<+∞; λ>0 is a parameter. The nonlinearity f is required to have an oscillatory behaviour. We prove the existence of multiple positive, multiple negative, and in particular, of multiple sign changing solutions depending on λ.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199704001306

Reference14 articles.

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2. On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems

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4. Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results

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