Calculus of Variations and Geometric Measure Theory

D. Mugnai

Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem

created on 28 Feb 2003

[BibTeX]

Accepted Paper

Inserted: 28 feb 2003

Journal: NoDEA Nonlinear Differential Equations Appl.
Year: 2002

Abstract:

We consider a general nonlinear elliptic problem of the second order whose associated functional presents two linking structures and we prove the existence of three nontrivial solutions to the problem.

Keywords: $\nabla$--condition, linking, superlinear and subcritical equations


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