The effect of the domain topology on the number of solutions of fractional Laplace problems
From MaRDI portal
Publication:1656492
DOI10.1007/s00526-018-1382-2zbMath1423.35110OpenAlexW2808181517MaRDI QIDQ1656492
Raffaella Servadei, Giovany M. Figueiredo, Giovanni Molica Bisci
Publication date: 10 August 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1382-2
Related Items (8)
Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Existence and multiplicity results for fractional Schrödinger equation with critical growth ⋮ The effect of topology on the number of positive solutions of elliptic equation involving Hardy-Littlewood-Sobolev critical exponent ⋮ On nonlocal Dirichlet problems with oscillating term ⋮ The effect of the domain topology on the number of positive solutions for fractional \(p\)-Laplacian equation with critical growth ⋮ Multiplicity and concentration of solutions to fractional anisotropic Schrödinger equations with exponential growth ⋮ Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold ⋮ Existence results and bifurcation for nonlocal fractional problems with critical Sobolev exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain
- A critical fractional Laplace equation in the resonant case
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Multiplicity results for fractional Laplace problems with critical growth
- Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Variational methods for non-local operators of elliptic type
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- The Yamabe equation in a non-local setting
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Variational Methods for Nonlocal Fractional Problems
- A multiplicity result for a variational problem with lack of compactness
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- A Brezis-Nirenberg type result for a nonlocal fractional operator
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: The effect of the domain topology on the number of solutions of fractional Laplace problems
