Ground state solutions for fractional Schrödinger equations with critical exponents

DOI10.1007/S12044-022-00699-YzbMath1500.35296OpenAlexW4306294881MaRDI QIDQ2089931

Yanyan Li

Publication date: 24 October 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-022-00699-y

zbMATH Keywords

critical exponentground statefractional Schrödinger equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
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• Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
• Bound states to critical quasilinear Schrödinger equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth
• Soliton solutions for fractional Schrödinger equations
• Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Existence and concentration of positive ground state solutions for nonlinear fractional Schrödinger‐Poisson system with critical growth
• Ground states for fractional Schrödinger equations with critical growth
• Soliton solutions for quasilinear Schrödinger equations, I
• Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth
• Ground state solutions for a modified fractional Schrödinger equation with critical exponent
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Ground states for fractional Schrödinger equations with critical growth

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