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1. 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

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