Infinitely Many Solutions for Quasilinear Elliptic Problems with Broken Symmetry-Reference-Cited by-同舟云学术

Infinitely Many Solutions for Quasilinear Elliptic Problems with Broken Symmetry

Published:2013-08-01 Issue:3 Volume:13 Page:739-749
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Bartolo Rossella¹

Affiliation:

1. Dipartimento di Meccanica, Matematica e Management Politecnico di Bari, via E. Orabona, Bari, Italy

Abstract

Abstract The aim of this paper is investigating the existence of solutions of the quasilinear elliptic Problem

where Ω is an open bounded domain of RN with C2 boundary ∂Ω, Δpu = div(|∇u|p−2∇u), 1 < p < q < p∗, f ∈ C(Ω̅) and ϕ ∈ C2(Ω̅). By means of the so-called Bolle’s method in [3, 4], we extend a result in [10] where the authors consider Ω =]0, 1[N and u = 0 on ∂Ω.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2013-0308/pdf

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