NODAL AND MULTIPLE SOLUTIONS FOR NONLINEAR PERIODIC PROBLEMS WITH COMPETING NONLINEARITIES

DOI10.1142/S0219199713500016zbMath1285.34012OpenAlexW2042827001MaRDI QIDQ2853988

Vasile Staicu, Sergiu Aizicovici, Nikolaos S. Papageorgiou

Publication date: 17 October 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199713500016

zbMATH Keywords

critical groupsmountain pass theoremconcave and convex nonlinearitiesnonhomogeneous differential operatornonlinear strong maximum principlemultiple and nodal solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (4)

Nonlinear nonhomogeneous periodic problems ⋮ Multiple and nodal solutions for a class of nonlinear, nonhomogeneous periodic eigenvalue problems ⋮ Nonlinear periodic system with unilateral constraints ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

Cites Work

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