Author: "Byeon, Jaeyoung" / Topic: nonlinear theories and partial differential equations - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Byeon, Jaeyoung" Topic nonlinear theories Topic partial differential equations

Author: Byeon, Jaeyoung and Tanaka, Kazunaga
Subjects: *NONLINEAR theories, *ELLIPTIC differential equations, *MATHEMATICAL domains, *NON-degenerate perturbation theory, *VARIATIONAL principles, *PARTIAL differential equations
Abstract: In this paper we study the existence of multi-bump positive solutions of the following nonlinear elliptic problem: Here $$1
Published: 2014
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Author: Byeon, Jaeyoung and Jeanjean, Louis
Subjects: *EQUATIONS, *NONLINEAR theories, *PARTIAL differential equations, *SCHRODINGER equation, *WAVE mechanics
Abstract: For elliptic equations ε2Δ u − V( x) u + f( u) = 0, x ∈ R N , N ≧ 3, we develop a new variational approach to construct localized positive solutions which concentrate at an isolated component of positive local minimum points of V, as ε → 0, under conditions on f which we believe to be almost optimal. [ABSTRACT FROM AUTHOR]
Published: 2007
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