Boundary value problem for a fully nonlinear elliptic equation

Author:

Wu Ruili,Li Junyan

Abstract

Abstract In this paper, we investigate the well-posedness of a fully nonlinear elliptic problem. By using the acute angle principle for the weakly continuous operator, we obtained the W 2,p -strong solution of the fully nonlinear elliptic problem.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference16 articles.

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2. W2, p and W1, p Estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations;Winter;Journal for Analysis and its Applications,2009

3. Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains;Amendola;Abstract and Applied Analysis,2008

4. Maximum principle for Lp-viscosity solutions of fully nonlinear equations with unbounded ingredients and superlinear growth terms;Nakagawa;Adv. math. sci. appl,2009

5. Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds;Viaclovsky;Communications in Analysis and Geometry,2001

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