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Your search keyword '"Xiang-Dong Fang"' showing total 2 results
Start Over Author "Xiang-Dong Fang" Journal boundary value problems
2 results on '"Xiang-Dong Fang"'

1. Ground state solution and multiple solutions to asymptotically linear Schrödinger equations.

Author

Xiang-Dong Fang and Zhi-Qing Han

Subjects
*GROUND state energy, *ASYMPTOTIC expansions, *LINEAR equations, *SCHRODINGER equation, *MANIFOLDS (Mathematics)
Abstract

In this paper, we consider the Schrodinger equation -△u + V(x)u = f (x, u), x ∈ RN, where V and f are periodic in x1, . . ., xN, asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Ground state solution and multiple solutions to asymptotically linear Schrödinger equations

Author

Zhi-Qing Han and Xiang-Dong Fang

Subjects
Asymptotically linear, Partial differential equation, Algebra and Number Theory, Mathematical analysis, Monotonic function, Schrödinger equation, symbols.namesake, Linear differential equation, Ordinary differential equation, symbols, Nehari manifold, Ground state, Analysis, Mathematics
Abstract

In this paper, we consider the Schrodinger equation -� u + V(x)u = f (x, u), x ∈ R N , where V and f are periodic in x1, ... , xN, asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u.

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