On nonlinear perturbations of a periodic fractional Schrödinger equation with critical exponential growth
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Publication:2805376
DOI10.1002/mana.201500120zbMath1381.35216OpenAlexW1851040465MaRDI QIDQ2805376
Manassés de Souza, Yane Lísley Araújo
Publication date: 11 May 2016
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201500120
Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
- Nonlinear scalar field equations. I: Existence of a ground state
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- Solitary waves of nonlinear dispersive evolution equations with critical power nonlinearities
- Symétrie et compacité dans les espaces de Sobolev
- On a class of nonlinear Schrödinger equations
- On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.
- 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
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- \(1/2\)-Laplacian problems with exponential nonlinearity
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- 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 state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
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