Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth
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Publication:2977956
DOI10.1002/mma.4095zbMath1368.35086OpenAlexW2498590490MaRDI QIDQ2977956
Yane Lísley Araújo, Manassés de Souza
Publication date: 20 April 2017
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.4095
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)
Related Items (11)
Critical system involving fractional Laplacian ⋮ Solutions for a class of fractional Hamiltonian systems with exponential growth ⋮ Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent ⋮ Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation ⋮ On existence and concentration of solutions for Hamiltonian systems involving fractional operator with critical exponential growth ⋮ Fractional Kirchhoff-Schrödinger equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ On a fractional Kirchhoff type problem with critical exponential growth nonlinearity ⋮ On solutions for fractional \(N/s\)-Laplacian equations involving exponential growth ⋮ Existence and multiplicity of solutions for a class of fractional elliptic systems ⋮ On a class of fractional Schrödinger equations in with sign-changing potential ⋮ On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
- Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
- Nonautonomous fractional problems with exponential growth
- Mountain pass solutions for non-local elliptic operators
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- On a class of nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Existence and multiplicity of solutions of semilinear elliptic equations in \(\mathbb{R}^N\)
- On critical cases of Sobolev's inequalities
- Variational methods for non-local operators of elliptic type
- Dual variational methods in critical point theory and applications
- \(1/2\)-Laplacian problems with exponential nonlinearity
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Bound state for the fractional Schrödinger equation with unbounded potential
- On a class of singular Trudinger-Moser type inequalities and its applications
- Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
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