On a new index theory and non semi-trivial solutions for elliptic systems

DOI10.3934/dcds.2010.28.809zbMath1193.35036OpenAlexW2034746898MaRDI QIDQ983463

Zhi-Qiang Wang, Tan Zhang, Kung-Ching Chang

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.809

zbMATH Keywords

eigenvaluecritical point theoryelliptic systemgenus

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Elliptic equations on manifolds, general theory (58J05)

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Multiple positive solutions for coupled Schrödinger equations with perturbations ⋮ Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems ⋮ On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system ⋮ Existence and multiplicity of solutions for nonlocal systems involving fractional Laplacian with non-differentiable terms ⋮ Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition ⋮ Multiple non semi-trivial solutions of systems of Kirchhoff-type equations with discontinuous nonlinearities inR^N ⋮ High energy solutions of systems of Kirchhoff-type equations in R N

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