Infinitely many weak solutions for a fractional Schrödinger equation
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Publication:477296
DOI10.1186/s13661-014-0159-6zbMathNoneOpenAlexW2172019558WikidataQ59323519 ScholiaQ59323519MaRDI QIDQ477296
Wei Dong, Jiafa Xu, Zhongli Wei
Publication date: 3 December 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-014-0159-6
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Cites Work
- Unnamed Item
- A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
- On the ground state solution for a critical fractional Laplacian equation
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Multiplicity of solutions for a class of semilinear Schrödinger equations with sign-changing potential
- Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms
- Minimax theorems
- Dual variational methods in critical point theory and applications
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- 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
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- Ground states for fractional Schrödinger equations with critical growth
- Multiple solutions for Kirchhoff-type equations in $\mathbb {R}^N$RN
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- Variant fountain theorems and their applications
