This paper is motivated by a gauged Schrödinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the origin. Those states solve a nonlinear nonlocal PDE with a variational structure. We will study the global behavior of that functional, extending known results for the regular case
Standing waves for a Gauged Nonlinear Schrödinger Equation with a vortex point / Jiang, Y; Pomponio, Alessio; Ruiz, D.. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:4(2016). [10.1142/S0219199715500741]
Standing waves for a Gauged Nonlinear Schrödinger Equation with a vortex point
POMPONIO, Alessio;
2016-01-01
Abstract
This paper is motivated by a gauged Schrödinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the origin. Those states solve a nonlinear nonlocal PDE with a variational structure. We will study the global behavior of that functional, extending known results for the regular caseFile in questo prodotto:
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