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Your search keyword '"*MOUNTAIN pass theorem"' showing total 2 results
Start Over Descriptor "*MOUNTAIN pass theorem" Search Limiters Full Text Topic asymptotically linear Publication Year Range Last 10 years Journal electronic journal of qualitative theory of differential equations
2 results on '"*MOUNTAIN pass theorem"'

1. On the existence and multiplicity of solutions for nonlinear Klein-Gordon-Maxwell systems.

Author

Lixia Wang, Chunlian Xiong, and Pingping Zhao

Subjects
*NONLINEAR systems, *MULTIPLICITY (Mathematics), *MOUNTAIN pass theorem
Abstract

In this paper, we study the existence and multiplicity solutions for the following Klein-Gordon-Maxwell system ∫-Δu + V(x)u - (2ω + ϕ)ϕu = f (x, u), x ∈ R³, Δϕ = (ω + ϕ)u², x ∊ R³, where ω > 0 is a constant and the nonlinearity f (x, u) is either asymptotically linear in u at infinity or the primitive of f (x, u) is of 4-superlinear growth in u at infinity. Under some suitable assumptions, the existence and multiplicity of solutions are proved by using the Mountain Pass theorem and the fountain theorem, respectively. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Multiple solutions for a class of fractional equations.

Author

Ruichang Pei, Jihui Zhang, and Caochuan Ma

Subjects
*FRACTIONAL differential equations, *LAPLACE'S equation, *MOUNTAIN pass theorem, *MORSE theory, *MATHEMATICAL analysis
Abstract

In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory. [ABSTRACT FROM AUTHOR]

Published
2015
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