Symmetry results for cooperative elliptic systems in unbounded domains

DOI10.1512/IUMJ.2014.63.5255zbMath1310.35110arXiv1212.4647OpenAlexW2049358532MaRDI QIDQ2926583

Filomena Pacella, Francesca Gladiali, Lucio Damascelli

Publication date: 31 October 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4647

zbMATH Keywords

symmetrymaximum principleMorse indexcooperative elliptic systems

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems ⋮ Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems ⋮ Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions ⋮ 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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