A symmetry result for semilinear cooperative elliptic systems

DOI10.1090/CONM/595/11802zbMath1294.35018arXiv1209.5581OpenAlexW2963374996MaRDI QIDQ5413682

Filomena Pacella, Lucio Damascelli, Francesca Gladiali

Publication date: 30 April 2014

Published in: Recent Trends in Nonlinear Partial Differential Equations II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5581

zbMATH Keywords

symmetrymaximum principleMorse indexcooperative elliptic systems

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57) Classical solutions to PDEs (35A09)

Related Items (4)

Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems ⋮ Symmetry of \(n\)-mode positive solutions for two-dimensional Hénon type systems ⋮ Sectional symmetry of solutions of elliptic systems in cylindrical domains ⋮ A monotonicity result under symmetry and Morse index constraints in the plane

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