Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msup> <mrow> <mi>ℝ</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msup> </math>-Reference-Cited by-同舟云学术

Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in $ℝ^{4}$

Published:2022-06-20 Issue: Volume:2022 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Sabri Khadidja¹,Matallah Atika²,Benmansour Safia²,El Mokhtar Mohammed El Mokhtar Ould³^ORCID

Affiliation:

1. University of Oran 2, Laboratory of Analysis and Control of Partial Differential Equations of Sidi Bel Abbes-Algeria, Algeria

2. Higher School of Management-Tlemcen, Laboratory of Analysis and Control of Partial Differential Equations of Sidi Bel Abbes-Algeria, Algeria

3. Qassim University, College of Science, Department of Mathematics, BO 6644, Buraidah: 51452, Saudi Arabia

Abstract

In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.

Funder

Algerian Ministry of Higher Education and Scientific Research

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/2187810.pdf

Reference22 articles.

1. On global solvability of non-linear viscoelastic equations in the analytic category

2. Global solvability for the degenerate Kirchhoff equation with real analytic data

3. On some questions in boundary value problems of mathematical physics;J. L. Lions,1978

4. On a class of p(x)-Choquard equations with sign-changing potential and upper critical growth

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