Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight
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Publication:1633704
DOI10.1186/s13661-017-0870-1zbMath1404.35173OpenAlexW2756829213WikidataQ59524164 ScholiaQ59524164MaRDI QIDQ1633704
Publication date: 20 December 2018
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0870-1
Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Boundary value problems for higher-order elliptic systems (35J58)
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Cites Work
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- Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- The Nehari manifold for fractional systems involving critical nonlinearities
- Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent
- On some critical problems for the fractional Laplacian operator
- The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Uniform estimates and limiting arguments for nonlocal minimal surfaces
- Fractional Laplacian in conformal geometry
- The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
- Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- Phase transition with the line-tension effect
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Minimax theorems
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Multiple positive solutions for fractional elliptic systems involving sign-changing weight
- Regularity for the nonlinear Signorini problem
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Nonlocal minimal surfaces
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Financial Modelling with Jump Processes
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- An Extension Problem Related to the Fractional Laplacian
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
