Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth

DOI10.1007/s13398-020-00809-3zbMath1437.35254OpenAlexW3002023790MaRDI QIDQ2293240

Haibo Chen, Guofeng Che

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00809-3

zbMATH Keywords

critical Sobolev exponentconcentration-compactness principleKirchhoff-Schrödinger-Poisson systemLjusternik-Schnirelmann category

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47)

Related Items (8)

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR KIRCHHOFF-SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES ⋮ Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth ⋮ Multiple positive solutions for Kirchhoff-type problems involving supercritical and critical terms ⋮ Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ Unnamed Item ⋮ Positive solutions for the Kirchhoff-type equation with Hartree nonlinearities ⋮ EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY

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