On the multiplicity and concentration for \(p\)-fractional Schrödinger equations
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Publication:2274699
DOI10.1016/J.AML.2019.03.010zbMath1466.35353OpenAlexW2922814815MaRDI QIDQ2274699
Vincenzo Ambrosio, Teresa Isernia
Publication date: 1 October 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.010
Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (6)
Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Fractional p&q-Laplacian problems with potentials vanishing at infinity ⋮ A perturbed fractional p-Kirchhoff problem with critical nonlinearity ⋮ Multiplicity of positive solutions for a fractional \(p\& q\)-Laplacian problem in \(\mathbb{R}^N\) ⋮ Existence and concentration of positive solutions for \(p\)-fractional Schrödinger equations ⋮ Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities
Cites Work
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- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Optimal decay of extremals for the fractional Sobolev inequality
- Local behavior of fractional \(p\)-minimizers
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Superlinear problems
- Existence and symmetry result for fractional \(p\)-Laplacian in \(\mathbb{R}^{n}\)
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
- On a class of nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- The Dirichlet problem for the \(p\)-fractional Laplace equation
- Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
- Minimax theorems
- Dual variational methods in critical point theory and applications
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Kirchhoff-Hardy fractional problems with lack of compactness
- Nontrivial solutions for a fractional p-Laplacian problem via Rabier Theorem
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On the Ambrosetti-Rabinowitz Superlinear Condition
- Fractional p-eigenvalues
- Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- An Extension Problem Related to the Fractional Laplacian
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