Multiplicity results for a class of gradient systems depending on two parameters

DOI10.1016/j.na.2010.03.051zbMath1196.34023OpenAlexW2065110443MaRDI QIDQ975853

Yu Tian, Shapour Heidarkhani

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.051

zbMATH Keywords

critical pointNeumann problemmultiplicity resultsthree solutionsdouble eigenvalue problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

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A variational approach to a Kirchhoff-type problem involving two parameters ⋮ Infinitely many solutions for class of Neumann quasilinear elliptic systems ⋮ Multiple solutions for a class of multipoint boundary value systems driven by a one-dimensional \((p_1, \dots, p_n)\)-Laplacian operator ⋮ Multiple solutions for a Neumann system involving subquadratic nonlinearities ⋮ Three solutions for a perturbed Navier problem ⋮ A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system ⋮ A critical points approach to multiplicity results for multi-point boundary value problems

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