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EXISTENCE OF NORMALIZED SOLUTIONS FOR THE PLANAR SCHR & Oacute; DINGER-POISSON SYSTEM WITH EXPONENTIAL CRITICAL NONLINEARITY

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Author(s):
Alves, Claudianor O. ; Boer, Eduardo de S. ; Miyagaki, Olimpio H.
Total Authors: 3
Document type: Journal article
Source: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 36, n. 11-12, p. 24-pg., 2023-11-01.
Abstract

In the present work, we are concerned with the existence of normalized solutions to the following Schro & BULL;dinger-Poisson System {- increment u + & lambda;u + & mu;(ln | & BULL; | * |u|2)u = f (u) in R2 , 1R2 |u(x)|2dx = c, c > 0, for & mu; E R and a nonlinearity f with exponential critical growth. Here, & lambda; E R stands as a Lagrange multiplier and it is part of the unknown. Our main results extend and/or complement some results found in [3] and [13]. (AU)

FAPESP's process: 19/22531-4 - Critical non local Choquard-Schrödinger-Poisson equation: existence, multiplicity and properties
Grantee:Eduardo de Souza Böer
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions
Grantee:Olimpio Hiroshi Miyagaki
Support Opportunities: Regular Research Grants