Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero
type: Item
instance of: scholarly article
title: Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero
zbMATH Open document ID: 1479.35917
author: Yutong Chen
author: Jiabao Su
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-12-08T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35A16
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 7440386
zbMATH Keywords: homotopy invariance
zbMATH Keywords: critical groups
zbMATH Keywords: Morse theory
Wikidata QID: Q114022632
MaRDI profile type: Publication
full work available at URL: dcdss.2021007
OpenAlex ID: W3120496089
cites work: Dual variational methods in critical point theory and applications
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: On some critical problems for the fractional Laplacian operator
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Resonant problems for fractional Laplacian
cites work: Multiple solutions for the fractional Laplacian problems with different asymptotic limits near infinity
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
cites work: Saddle point solutions for non-local elliptic operators
cites work: A resonance problem for non-local elliptic operators
cites work: Asymptotically linear problems driven by fractional Laplacian operators
cites work: Existence and multiplicity results for resonant fractional boundary value problems
cites work: Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
cites work: Q3357929
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
cites work: Critical point theory and Hamiltonian systems
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: A Brezis-Nirenberg splitting approach for nonlocal fractional equations
cites work: Existence and multiplicity results for the fractional Laplacian in bounded domains
cites work: Solution of nonlinear equations having asymptotic limits at zero and infinity.
cites work: Q3749777
cites work: A critical fractional Laplace equation in the resonant case
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Variational methods for non-local operators of elliptic type
cites work: A Brezis-Nirenberg result for non-local critical equations in low dimension
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: Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
cites work: Multiplicity results for asymptotically linear elliptic problems at resonance.
cites work: Multiple solutions for indefinite functionals and applications to asymptotically linear problems
DOI: 10.3934/DCDSS.2021007
description: scientific article; zbMATH DE number 7440386