Existence of multiple positive solutions for fractional Laplace problems with critical growth and sign-changing weight in non-contractible domains
type: Item
instance of: scholarly article
title: Existence of multiple positive solutions for fractional Laplace problems with critical growth and sign-changing weight in non-contractible domains
author: Lu Pang
author: Xueqin Li
author: Yajing Zhang
published in: Boundary Value Problems
publication date: 2022-12-19T00:00:00Z
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 7634225
zbMATH Keywords: multiple positive solutions
zbMATH Keywords: fractional Laplace problems
zbMATH Keywords: critical growth
zbMATH Keywords: Lusternik-Schnirelmann category
MaRDI profile type: Publication
full work available at URL: s13661-019-1193-1
OpenAlex ID: W2945840182
cites work: Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
cites work: Critical points and nonlinear variational problems
cites work: On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
cites work: On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
cites work: A critical fractional equation with concave-convex power nonlinearities
cites work: Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
cites work: Methods in Nonlinear Analysis
cites work: Financial Modelling with Jump Processes
cites work: Q3687093
cites work: On the variational principle
cites work: Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems
cites work: Positive solutions for critical inhomogeneous elliptic problems in non-contractible domains
cites work: Fractional derivatives in complex planes
cites work: An elliptic problem with critical growth in domains with shrinking holes.
cites work: Q4994308
cites work: Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
cites work: A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces
cites work: Commutators of fractional integral operators on Vanishing-Morrey spaces
cites work: On continuity of minimizers for certain quadratic growth functionals
cites work: The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
cites work: Q5601742
cites work: Coron problem for fractional equations.
cites work: Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
cites work: Variational methods for non-local operators of elliptic type
cites work: Weak and viscosity solutions of the fractional Laplace equation
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: On nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: From the long jump random walk to the fractional Laplacian
cites work: Multiple solutions for inhomogeneous critical semilinear elliptic problems
cites work: Symmetry breaking in a bounded symmetry domain
cites work: Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
cites work: A perturbation result on positive entire solutions of a semilinear elliptic equation
DOI: 10.1186/S13661-019-1193-1
description: scientific article; zbMATH DE number 7634225