Existence of solutions for a class of nonlinear Choquard equations with critical growth

DOI10.1080/00036811.2019.1608961zbMath1456.35186arXiv1608.07064OpenAlexW2963297695MaRDI QIDQ5148326

Yong Ao

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07064

zbMATH Keywords

variational methodsNehari manifoldSchwarz rearrangementnonlinear Choquard automata equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Integro-partial differential equations (35R09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Positive solutions to a class of Choquard type equations with a competing perturbation ⋮ Multiple and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ The Brezis-Nirenberg type double critical problem for the Choquard equation ⋮ Ground state solutions for general Choquard equations with a variable potential and a local nonlinearity

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