Normalized solutions of the Schrödinger equation with potential
Copyright policy )Normalized solutions of the Schrödinger equation with potential
AbstractIn this paper, for dimension and prescribed mass , we consider the following nonlinear scalar field equation with constraint: where is a Lagrange multiplier, . In particular, satisfies mass supercritical and Sobolev subcritical growth. We prove the existence results of the normalized solution and infinitely many normalized solutions to the above system under some proper assumptions on the functions by the mountain pass argument.
- Tsinghua University China (People's Republic of)
Schrödinger operator, Schrödinger equation, Semilinear elliptic equations, existence of infinitely many normalized solutions, Existence problems for PDEs: global existence, local existence, non-existence, nonlinear Schrödinger equation
Schrödinger operator, Schrödinger equation, Semilinear elliptic equations, existence of infinitely many normalized solutions, Existence problems for PDEs: global existence, local existence, non-existence, nonlinear Schrödinger equation
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