Multiple sign-changing solutions to non-local supercritical exponent problem in symmetric domains
type: Item
instance of: scholarly article
title: Multiple sign-changing solutions to non-local supercritical exponent problem in symmetric domains
author: Uttam Kumar
author: Sweta Tiwari
published in: Mediterranean Journal of Mathematics
publication date: 2025-01-23T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35A16
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 7974111
zbMATH Keywords: nonlocal problem
zbMATH Keywords: supercritical exponent
zbMATH Keywords: \(s\)-harmonic extension
zbMATH Keywords: compactness of Palais-Smale sequence
zbMATH Keywords: sign-changing solutions
zbMATH Keywords: symmetric domains
MaRDI profile type: Publication
cites work: On some critical problems for the fractional Laplacian operator
cites work: Semilinear nonlocal elliptic equations with critical and supercritical exponents
cites work: Profile of solutions for nonlocal equations with critical and supercritical nonlinearities
cites work: Nodal solutions of a p-Laplacian equation
cites work: Nonlocal diffusion and applications
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains
cites work: Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
cites work: Q4440503
cites work: Multiple solutions to anisotropic critical and supercritical problems in symmetric domains
cites work: Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents
cites work: Multiple solutions to the pure critical exponent problem in domains with a hole of arbitrary size
cites work: Symmetries, Hopf fibrations and supercritical elliptic problems
cites work: Multiple solutions to a pure supercritical problem for the \(p\)-Laplacian
cites work: What is the fractional Laplacian? A comparative review with new results
cites work: The principle of symmetric criticality
cites work: Q3749777
cites work: The Pohozaev identity for the fractional Laplacian
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Minimax theorems
cites work: Three solutions for a fractional elliptic problem with critical and supercritical growth
DOI: 10.1007/S00009-024-02759-1
description: scientific article; zbMATH DE number 7974111