Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent

DOI10.1007/s00030-009-0028-7zbMath1173.35440OpenAlexW1992406156MaRDI QIDQ839522

Michinori Ishiwata

Publication date: 2 September 2009

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0028-7

zbMATH Keywords

critical Sobolev exponentelliptic systemseffect of topology

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Variational methods for elliptic systems (35J50)

Related Items (4)

Multiplicity of solutions for homogeneous elliptic systems with critical growth ⋮ Multiplicity of solutions to a potential operator equation and its applications ⋮ Multiplicity of positive solutions for Kirchhoff systems ⋮ The effect of the domain topology on the number of positive solutions for an elliptic system

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