Ground state and non-ground state solutions of some strongly coupled elliptic systems

By Denis Bonheure, Ederson Moreira dos Santos, Miguel Ramos. 2012

73 citations recorded by the source corpus.

We study an elliptic system of the form Lu = ⌊v⌋p&1 v and Lv = ⌊u⌋ q&1 u in Ω with homogeneous Dirichlet boundary condition, where Lu:= &Δu in the case of a bounded domain and Lu:= &Δu + u in the cases of an exterior domain or the whole space RN. We analyze the existence, uniqueness, sign and radial symmetry of ground state solutions and also look for sign changing solutions of the system. More general non-linearities are also considered. © 2011 American Mathematical Society.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/2dc05d1b2581eed6a51f76e90add273a8656dc5b

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In Applied Mathematics

1. Denis Bonheure
2. Ederson Moreira dos Santos
3. Hugo Tavares

In Computational Theory and Mathematics

1. Ederson Moreira dos Santos
2. Denis Bonheure
3. Hugo Tavares

Citations in the corpus

• Hamiltonian elliptic systems: a guide to variational frameworks (2014, methodology): “and we mention that in this part we closely follow some of the procedures in [23].”