Infinitely many solutions for symmetric and non-symmetric elliptic systems

DOI10.1016/j.jmaa.2010.01.037zbMath1185.35075OpenAlexW2046463079MaRDI QIDQ961047

Addolorata Salvatore

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.037

zbMATH Keywords

elliptic systemperturbative methodfourth order elliptic equationvariational tools

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Perturbations in context of PDEs (35B20) Boundary value problems for second-order elliptic systems (35J57)

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Existence and multiplicity results for some elliptic systems in unbounded cylinders ⋮ Multiple Solutions of Sublinear Quasilinear Schrödinger Equations with Small Perturbations ⋮ Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry ⋮ Existence and multiplicity of solutions for a class of superlinear elliptic systems ⋮ Some new results on subquadratic Lane-Emden elliptic systems ⋮ Weighted elliptic systems of Lane-Emden type in unbounded domains ⋮ Infinitely many solutions for a class of indefinite biharmonic equation under symmetry breaking situations ⋮ A note on the Ambrosetti-Rabinowitz condition for an elliptic system ⋮ Elliptic systems in unbounded domains ⋮ Infinitely many solutions for sublinear modified nonlinear Schrödinger equations perturbed from symmetry ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

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