Positive solutions for the p-Laplacian: application of the fibrering method-Reference-Cited by-同舟云学术

Positive solutions for the p-Laplacian: application of the fibrering method

Published:1997 Issue:4 Volume:127 Page:703-726
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Drábek Pavel,Pohozaev Stanislav I.

Abstract

Using the fibrering method, we prove the existence of multiple positive solutions of quasilinear problems of second order. The main part of our differential operator is p-Laplacian and we consider solutions both in the bounded domain Ω⊂ℝN and in the whole of ℝN. We also prove nonexistence results.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. On eigenfunctions of quasilinear elliptic problems;Pohozaev;Mat. Sb.,1970

2. On fibering method for the solution of nonlinear boundary value problems;Pohozaev;Trudy Mat. Inst. Steklov.,1990

3. On the equation div (|∇ u|p–2 ∇u)+λ|u|p–2u= 0;Lindqvist;Proc. Amer. Math. Soc.,1990

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