Existence, multiplicity, and concentration of positive solutions for a quasilinear Choquard equation with critical exponent

DOI10.1063/1.5051205zbMath1414.35217OpenAlexW2942657435WikidataQ127937138 ScholiaQ127937138MaRDI QIDQ5379468

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Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1063/1.5051205

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

Multiple solutions for a quasilinear Choquard equation with critical nonlinearity ⋮ Solutions for a class of quasilinear Choquard equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Existence results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Some existence results for critical nonlocal Choquard equation on the Heisenberg group ⋮ High and low perturbations of the critical Choquard equation on the Heisenberg group ⋮ \(p\)-Kirchhoff modified Schrödinger equation with critical nonlinearity in \(\mathbb{R}^N\) ⋮ Multi-bump solutions for the quasilinear Choquard equation in \(\mathbb{R}^N\) ⋮ Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities ⋮ Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities ⋮ Quasilinear Choquard equation with critical exponent

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