Existence of weak solutions for non-local fractional problems via Morse theory
type: Item
instance of: scholarly article
title: Existence of weak solutions for non-local fractional problems via Morse theory
zbMATH Open document ID: 1310.35238
author: Massimiliano Ferrara
author: Giovanni Molica Bisci
author: Binlin Zhang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2014-12-04T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6376820
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: integro-differential operator
zbMATH Keywords: critical groups
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: dcdsb.2014.19.2483
OpenAlex ID: W2314796673
cites work: On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
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: The boundary Harnack principle for the fractional Laplacian
cites work: Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
cites work: Global solvability of Hammerstein equations with applications to BVP involving fractional Laplacian
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Variational problems with free boundaries for the fractional Laplacian
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Fractional Laplacian in conformal geometry
cites work: \(\Gamma\) convergence of an energy functional related to the fractional Laplacian
cites work: Nontrivial solutions of superlinear \(p\)-Laplacian equations
cites work: A resonance problem for non-local elliptic operators
cites work: On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n
cites work: Fractional differential repetitive processes with Riemann-Liouville and Caputo derivatives
cites work: Q4648877
cites work: Sensitivity of a fractional integrodifferential Cauchy problem of Volterra type
cites work: A fractional imbedding theorem
cites work: Fractional Sobolev spaces via Riemann-Liouville derivatives
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Intrinsic ultracontractivity for Schrödinger operators based on fractional Laplacians
cites work: Q5748201
cites work: On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
cites work: On superlinear problems without the Ambrosetti and Rabinowitz condition
cites work: Existence of solutions to a superlinear \(p\)-Laplacian equation
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
cites work: Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
cites work: Fractional equations with bounded primitive
cites work: Sequences of weak solutions for fractional equations
cites work: Three weak solutions for nonlocal fractional equations
cites work: Higher nonlocal problems with bounded potential
cites work: A bifurcation result for non-local fractional equations
cites work: Q3560017
cites work: Fractional Laplacian: Pohozaev identity and nonexistence results
cites work: The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
cites work: A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
cites work: Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity
cites work: Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
cites work: Mountain pass solutions for non-local elliptic operators
DOI: 10.3934/DCDSB.2014.19.2483
description: scientific article; zbMATH DE number 6376820