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Positive Ground State Solutions to a Nonlocal Singular Elliptic Problem

Mustafa Avci

Abstract

In the present paper, we study the existence and uniqueness of solutions to some nonlocal singular elliptic problem under Dirichlet boundary condition. Problem is settled in Musielak-Sobolev spaces.

Positive Ground State Solutions to a Nonlocal Singular Elliptic Problem

Abstract

In the present paper, we study the existence and uniqueness of solutions to some nonlocal singular elliptic problem under Dirichlet boundary condition. Problem is settled in Musielak-Sobolev spaces.
Paper Structure (3 sections, 7 theorems, 71 equations)

This paper contains 3 sections, 7 theorems, 71 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. The main results

Key Result

Proposition 2.2

If (2.5)-(2.7) hold then the spaces $L^\Phi(\Omega)$ and $W^{1,\Phi}(\Omega)$ are separable and reflexive Banach spaces.

Theorems & Definitions (15)

  • Remark 2.1
  • Proposition 2.2: Adams
  • Proposition 2.3: XLFan1MihaRadu
  • Proposition 2.4: Fan-D
  • Remark 2.5
  • Remark 2.6
  • Proposition 2.7
  • proof
  • Theorem 3.1
  • Definition 3.2
  • ...and 5 more