Journal
MILAN JOURNAL OF MATHEMATICS
Volume 89, Issue 2, Pages 523-550Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00032-021-00340-z
Keywords
Variational methods; Semilinear elliptic equations; Schrodinger equation
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Funding
- Universita Politecnica delle Marche within the CRUI-CARE Agreement
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This paper examines the existence of solutions for a class of magnetic semilinear Schrodinger equations under certain conditions.
In this paper we deal with the existence of solutions for the following class of magnetic semilinear Schrodinger equation (P) {(-i del + A(x))(2)u + u = vertical bar u vertical bar(p-2)u, in Omega, u = 0 on partial derivative Omega, where N >= 3, Omega subset of R-N is an exterior domain, p is an element of (2, 2*) with 2* = 2N/N-2, and A : R-N -> R-N is a continuous vector potential verifying A(x) -> 0 as vertical bar x vertical bar -> infinity.
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