An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities

Date

2004-03-31

Authors

Alves, Claudianor O.
de Morais Filho, Daniel C.
Souto, Marco

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this article, we study the existence of solutions to the Hamiltonian elliptic system with discontinuous nonlinearities -Δu = αu + bν + ƒ(x, v), -Δv = cu + αv + g(x, u) on a bounded subset of ℝn, with zero Dirichlet boundary conditions. The functions ƒ and g have a finite number of jumping discontinuities.

Description

Keywords

Hamiltonian systems, Discontinuous nonlinearities, Dual variational principle

Citation

Alves, C. O., de Morais Filho, D. C., & Souto, M. A. S. (2004). An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(46), pp. 1-12.

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Attribution 4.0 International

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