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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Radial solutions for Henon type fully nonlinear equations in annuli and exterior domains

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Author(s):
Maia, Liliane [1] ; Nornberg, Gabrielle [2]
Total Authors: 2
Affiliation:
[1] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil
[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MATHEMATICS IN ENGINEERING; v. 4, n. 6 2022.
Web of Science Citations: 0
Abstract

In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Henon type weight. Our approach is based on the shooting method applied to the corresponding ODE problem, energy arguments, and the associated flow of an autonomous quadratic dynamical system. (AU)

FAPESP's process: 18/04000-9 - EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROWTH IN THE GRADIENT
Grantee:Gabrielle Saller Nornberg
Support Opportunities: Scholarships in Brazil - Post-Doctoral