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- Title
Normalized solutions for pseudo-relativistic Schrödinger equations.
- Authors
Xueqi Sun; Yongqiang Fu; Sihua Liang
- Abstract
In this paper, we consider the existence and multiplicity of normalized solutions to the following pseudo-relativistic Schrödinger equations ... where N = 2; a; #;m > 0; - is a real Lagrange parameter, 2 < p < 2] = 2N N-1 and 2] is the critical Sobolev exponent. The operator p - + m2 is the fractional relativistic Schrödinger operator. Under appropriate assumptions, with the aid of truncation technique, concentration-compactness principle and genus theory, we show the existence and the multiplicity of normalized solutions for the above problem.
- Subjects
SCHRODINGER operator; MULTIPLICITY (Mathematics); SCHRODINGER equation
- Publication
Communications in Analysis & Mechanics (CAM), 2024, Vol 16, Issue 1, p217
- ISSN
2836-3310
- Publication type
Article
- DOI
10.3934/cam.2024010