Ground states for fractional Schrödinger equations with critical growth

DOI10.1063/1.5008662zbMath1384.81026OpenAlexW2789500280MaRDI QIDQ4635296

Quanqing Li, Xian Wu, Kai-Min Teng

Publication date: 16 April 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5008662

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional partial differential equations (35R11)

Related Items (12)

Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity ⋮ Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth ⋮ Existence and multiplicity results for fractional Schrödinger equation with critical growth ⋮ Ground states for fractional Schrödinger equations involving critical or supercritical exponent ⋮ Positive solutions with high energy for fractional Schrödinger equations ⋮ Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth ⋮ Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent ⋮ Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth ⋮ Concentration behavior of solutions for fractional Schrödinger equations involving critical exponent ⋮ Ground states for asymptotically periodic fractional Kirchhoff equation with critical Sobolev exponent ⋮ Ground state solutions for fractional Schrödinger equations with critical exponents ⋮ Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth

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