The effect of the domain topology on the number of positive solutions for an elliptic system

DOI10.1007/s42985-022-00202-2zbMath1500.35143OpenAlexW4297903086WikidataQ115369453 ScholiaQ115369453MaRDI QIDQ2081131

Leticia S. Silva, Giovany M. Figueiredo

Publication date: 12 October 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00202-2

zbMATH Keywords

existence of positive solutionsgradient system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiplicity of positive solutions for a quasilinear Schrödinger equation with an almost critical nonlinearity
• Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent
• Multiple positive solutions for a Schrödinger-Poisson-Slater system
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• Pohozaev-type inequalities and their applications for elliptic equations
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees

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