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Your search keyword '"JAEYOUNG BYEON"' showing total 3 results
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3 results on '"JAEYOUNG BYEON"'

1. Nonlinear Schrödinger systems with mixed interactions: locally minimal energy vector solutions

Author

Jaeyoung Byeon, Sang-Hyuck Moon, and Zhi-Qiang Wang

Subjects
Applied Mathematics, General Physics and Astronomy, Pattern formation, Statistical and Nonlinear Physics, Symmetry (physics), Standing wave, symbols.namesake, Nonlinear system, Bound state, symbols, Mathematical Physics, Energy (signal processing), Schrödinger's cat, Mathematics, Mathematical physics
Abstract

This paper is concerned with asymptotic behavior of positive solutions for coupled Schrödinger equations with mixed interactions between components. We construct locally minimal energy solutions that show distinctively different limiting profile for simultaneously large attractive and repulsive couplings. The components of the solutions constructed exhibit partial synchronization and segregation.

Published
2021

2. Nonlinear scalar field equations involving the fractional Laplacian

Author

Jinmyoung Seok, Jaeyoung Byeon, and Ohsang Kwon

Subjects
geography, geography.geographical_feature_category, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Symmetry in biology, General Physics and Astronomy, Statistical and Nonlinear Physics, Vector Laplacian, 01 natural sciences, 010101 applied mathematics, Nonlinear system, Mountain pass, 0101 mathematics, Fractional Laplacian, Scalar field, Mathematical Physics, Mathematics
Abstract

In this paper we study the existence, regularity, radial symmetry and decay property of a mountain pass solution for nonlinear scalar field equations involving the fractional Laplacian under an almost optimal class of continuous nonlinearities.

Published
2017

3. Nonlinear scalar field equations involving the fractional Laplacian.

Author

Jaeyoung Byeon, Ohsang Kwon, and Jinmyoung Seok

Subjects
*RADIAL flow, *MOUNTAIN pass theorem, *SCALAR field theory, *LAPLACIAN operator, *NONLINEAR theories
Abstract

In this paper we study the existence, regularity, radial symmetry and decay property of a mountain pass solution for nonlinear scalar field equations involving the fractional Laplacian under an almost optimal class of continuous nonlinearities. [ABSTRACT FROM AUTHOR]

Published
2017
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