Global branches of solutions for a class of non uniformly fully nonlinear elliptic equations

2019/06/13 by Nikolaos B. Zographopoulos, Zographopoulos, N. B.
Computer Science · Mathematics · #35B32 #47A75 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1906.05666

openalex publication_date 2019/06/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We consider singular perturbations of eigenvalue problems. We prove that to these problems correspond simple eigenvalues and we study their asymptotic behavior. As a result, we prove global bifurcation results for non uniformly and fully nonlinear elliptic equations. These equations are defined on smooth enough bounded domains and the solutions belonging in these branches are smooth and positive.

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