Object's details: Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology

Provider:Akademicka Platforma Czasopism

Description

Title:
Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology
Creator:
Kumar, Uttam;
Tiwari, Sweta
Description:
In this article, we establish the existence of positive and multiple sign-changing solutions to the fractional $p$-Laplacian equation with purely critical nonlinearity \begin{equation} \label{Ppomegas-a}\tag{P$_{p,\Omega}^{s}$} \begin{cases} (-\Delta)_{p}^s u =|u|^{p_s^*-2} u& \text{in }\Omega, \\ u =0 & \text{on }\Omega^{c}, \end{cases} \end{equation} in a bounded domain $\Omega\subset \mathbb{R}^{N}$ for $s\in (0,1)$, $p\in (1,\infty)$, and the fractional critical Sobolev exponent $p^{*}_{s}={Np}/({N-sp})$ under some symmetry assumptions. We study Struwe's type global compactness results for the Palais-Smale sequence in the presence of symmetries.
Object availability:
free access
Rights:
Prawa autorskie (c) 2023 Uttam Kumar, Sweta Tiwari;
https://creativecommons.org/licenses/by-nd/4.0
Date:
2023.06.23
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 61, No 2 (June 2023); 717 - 742;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/44694/35877 ;https://apcz.umk.pl/TMNA/article/view/44694/35878
Subject:
Non-local problem;
fractional p-Laplacian;
critical exponent;
global compactness;
Primary: 35A15, 35A16, 35B33, 35J60, 35R11;
Secondary: 35J20
Identifier: https://apcz.umk.pl/TMNA/article/view/44694
Data provider:
Akademicka Platforma Czasopism

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Object's details: Multiple solutions to Bahri-Coron problem involving fractional $p$-Laplacian in some domain with nontrivial topology

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