Abstract

By energy estimates and by establishing a local (PS) condition, we obtain the multiplicity of solutions to a class of Brezis-Nirenberg-type problem with singular coefficients via minimax methods and the Krasnoselskii genus theory.

Highlights

  • 1 Introduction and main results This paper is concerned with multiple solutions for the semilinear Brezis-Nirenberg-type problem with singular coefficients

  • The purpose of this paper is to study the multiplicity of solutions for the BreizNirenberg-type problem ( ) with the aid of a minimax method

  • Author details 1School of Science, Jiangnan University, Wuxi, 214122, China

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Summary

Introduction

Let D a, ( ) be the completion of C ∞(Rn) with respect to the weighted norm · defined by u= The purpose of this paper is to study the multiplicity of solutions for the BreizNirenberg-type problem ( ) with the aid of a minimax method.

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