The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H (x, u, Du, D2u) = f(u) + h(x) in bounded C2 domains Ω ⊆ Rn. Here H is a fully nonlinear uniformly elliptic differential operator, f is a non-decreasing function that satisfies appropriate growth conditions at infinity, and h is a continuous function on Ω that could be unbounded either from above or from below. The results contained herein provide substantial generalizations and improvements of results known in the literature.

Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness

Vitolo, Antonio
2020

Abstract

The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H (x, u, Du, D2u) = f(u) + h(x) in bounded C2 domains Ω ⊆ Rn. Here H is a fully nonlinear uniformly elliptic differential operator, f is a non-decreasing function that satisfies appropriate growth conditions at infinity, and h is a continuous function on Ω that could be unbounded either from above or from below. The results contained herein provide substantial generalizations and improvements of results known in the literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4715739
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