Multiple solutions for elliptic systems with nonlinearities of arbitrary growth

DOI10.1016/J.JDE.2008.01.025zbMath1143.35028OpenAlexW2052800163MaRDI QIDQ924836

Addolorata Salvatore

Publication date: 19 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.01.025

zbMATH Keywords

elliptic systemvariational argumentfibering method

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50)

Related Items (15)

Multiple solutions of an even-order nonlinear problem with convex-concave nonlinearity ⋮ Infinitely many solutions of a Sturm-Liouville system with impulses ⋮ Existence and multiplicity results for some elliptic systems in unbounded cylinders ⋮ Existence of infinitely many solutions for a class of linear perturbed symmetric elliptic problem with nonhomogeneous boundary ⋮ Existence of multiple solutions of higher-order nonlinear elliptic equations ⋮ Existence and multiplicity of solutions for a class of superlinear elliptic systems ⋮ Some new results on subquadratic Lane-Emden elliptic systems ⋮ Infinitely many solutions for symmetric and non-symmetric elliptic systems ⋮ Weighted elliptic systems of Lane-Emden type in unbounded domains ⋮ On a new class of elliptic systems with nonlinearities of arbitrary growth ⋮ A note on the Ambrosetti-Rabinowitz condition for an elliptic system ⋮ Existence of solutions for a class of noncooperative elliptic systems ⋮ Ground states of elliptic problems over cones ⋮ Elliptic systems in unbounded domains ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

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