High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities

DOI10.1007/s00526-005-0338-5zbMath1331.35140OpenAlexW1973263481MaRDI QIDQ818994

Pigong Han, Dao-Min Cao

Publication date: 22 March 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-005-0338-5

zbMATH Keywords

energy functionalcritical Sobolev exponentelliptic system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Boundary value problems for first-order elliptic systems (35J56)

Related Items (5)

Positive solutions to a Neumann problem of semilinear elliptic system with critical nonlinearity ⋮ On the existence of solutions for an elliptic system of equations with arbitrary order growth ⋮ Multiplicity of positive solutions for semilinear elliptic systems ⋮ Multiple solutions of an inhomogeneous Neumann problem for an elliptic system with critical Sobolev exponent ⋮ Ground state solutions for quasilinear Schrödinger systems

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