A variational approach to quasilinear elliptic systems with critical Hardy-Sobolev and sign-changing function exponents

Subject Areas : Calculus of variations and optimal control; optimization

A. Akhavan ¹

1 - Department of Mathematics, Shahid Beheshti Higher Education Center of Tehran, Tehran, Iran|Education System of Shahriar, Shahriar, Iran

Received: 2023-08-31 Accepted : 2023-09-29 Published : 2023-10-01

Keywords: Nehari manifold, Multiple positive solutions, critical Hardy-Sobolev exponent, sign-changing function exponent,

Abstract :

The main aim of the present work is to review and study a variational method in existence and multiplicity of positive solutions for quasilinear elliptic systems with critical Hardy-Sobolev and sign-changing function exponents.

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