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Your search keyword '"Byeon, Jaeyoung"' showing total 2 results
Start Over Author "Byeon, Jaeyoung" Topic functional analysis Publisher academic press inc.
2 results on '"Byeon, Jaeyoung"'

1. Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli.

Author

Byeon, Jaeyoung, Kim, Seunghyeok, and Pistoia, Angela

Subjects
*NONLINEAR analysis, *ELLIPTIC functions, *SET theory, *DIMENSIONAL analysis, *FUNCTIONAL analysis, *MATHEMATICS
Abstract

Abstract: We consider the nonlinear elliptic problem where and with . It is known that as , the number of nonequivalent solutions of the above problem goes to ∞ when , . Here we prove the same phenomenon for any by finding -symmetric clustering bump solutions which concentrate near the set for large . [Copyright &y& Elsevier]

Published
2013
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2. Standing waves of nonlinear Schrödinger equations with the gauge field

Author

Byeon, Jaeyoung, Huh, Hyungjin, and Seok, Jinmyoung

Subjects
*STANDING waves, *NONLINEAR systems, *SCHRODINGER equation, *GAUGE field theory, *EXISTENCE theorems, *FUNCTIONAL analysis
Abstract

Abstract: We study standing waves for nonlinear Schrödinger equations with the gauge field. Some existence results of standing waves are established by applying variational methods to the functional which is obtained by representing the gauge field in terms of complex scalar field ϕ. We also show that there exists no standing wave for certain range of parameters by establishing a new inequality of Sobolev type. [Copyright &y& Elsevier]

Published
2012
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