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ON VECTOR SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTS
- Authors
- Kim, Seunghyeok
- Issue Date
- May-2013
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Keywords
- Coupled nonlinear Schrödinger equations; Critical exponent; Nehari manifold
- Citation
- COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.12, pp.1259 - 1277
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
- Volume
- 12
- Start Page
- 1259
- End Page
- 1277
- ISSN
- 1534-0392
- Abstract
- In this paper, we study the existence and asymptotic behavior of a solution with positive components (which we call a vector solution) for the coupled system of nonlinear Schrodinger equations with doubly critical exponents [GRAPHICS] u, v > 0 in Omega, u, v = 0 on partial derivative Omega as the coupling coefficient beta is an element of R tends to 0 or +infinity, where the domain Omega subset of R-N (N >= 3) is smooth bounded and certain conditions on lambda 1, lambda 2 > 0 and mu 1, mu 2 > 0 are imposed. This system naturally arises as a counterpart of the Brezis-Nirenberg problem (Comm. Pure Appl. Math. 36: 437-477, 1983).
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)