Search

Your search keyword '"*MOUNTAIN pass theorem"' showing total 2 results
Start Over Descriptor "*MOUNTAIN pass theorem" Topic calculus of variations Topic variational method Publication Year Range Last 10 years Journal electronic journal of differential equations
2 results on '"*MOUNTAIN pass theorem"'

1. CLASSICAL SOLUTIONS FOR DISCRETE POTENTIAL BOUNDARY VALUE PROBLEMS WITH GENERALIZED RAY-LIONS TYPE OPERATOR AND VARIABLE EXPONENT.

Author

KYELEM, BILA ADOLPHE, OUARO, STANISLAS, and ZOUNGRANA, MALICK

Subjects
*NONLINEAR difference equations, *CRITICAL point theory, *DIFFERENTIAL topology, *MOUNTAIN pass theorem, *CALCULUS of variations
Abstract

In this article, we prove the existence of solutions for some discrete nonlinear difference equations subjected to a potential boundary type condition. We use a variational technique that relies on Szulkin's critical point theory, which ensures the existence of solutions by ground state and mountain pass methods. [ABSTRACT FROM AUTHOR]

Published
2017

2. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONHOMOGENEOUS KLEIN-GORDON-MAXWELL EQUATIONS.

Author

LIPING XU and HAIBO CHEN

Subjects
*KLEIN-Gordon equation, *VARIATIONAL principles, *MOUNTAIN pass theorem, *CRITICAL point theory, *CALCULUS of variations
Abstract

This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation -Δu + u - (2w + Φ) Φu + |u|p-1u + h(x), in ℝ³; ΔΦ = (w + Φ)u², in ℝ³, where w > 0 is constant, p ∈ (1; 5). Under appropriate assumptions on h(x), the existence of at least two solutions is obtained by applying the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. [ABSTRACT FROM AUTHOR]

Published
2015

Catalog

Books, media, physical & digital resources
See catalog results