Unique Continuation for Fully Nonlinear Elliptic Equations

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Unique Continuation for Discrete Nonlinear Wave Equations

We establish unique continuation for various discrete nonlinear wave equations. For example, we show that if two solutions of the Toda lattice coincide for one lattice point in some arbitrarily small time interval, then they coincide everywhere. Moreover, we establish analogous results for the Toda, Kac–van Moerbeke, and Ablowitz–Ladik hierarchies. Although all these equations are integrable, t...

متن کامل

Overdetermined problems for fully nonlinear elliptic equations

We prove that the existence of a solution to a fully nonlinear elliptic equation in a bounded domain Ω with an overdetermined boundary condition prescribing both Dirichlet and Neumann constant data forces the domain Ω to be a ball. This is a generalization of Serrin’s classical result from 1971.

متن کامل

Perturbing Fully Nonlinear Second Order Elliptic Equations

We present two types of perturbations with reverse effects on some scalar fully nonlinear second order elliptic differential operators: on the other hand, first order perturbations which destroy the global solvability of the Dirichlet problem, in smooth bounded domains of Rn; on the other hand, an integral perturbation which restore the local solvability, on compact connected manifolds without ...

متن کامل

Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations

There has been much work on conformally invariant fully nonlinear elliptic equations and applications to geometry and topology. See for instance [17], [5], [4], [10], [14], [9], and the references therein. An important issue in the study of such equations is to classify entire solutions which arise from rescaling blowing up solutions. Liouville type theorems for general conformally invariant fu...

متن کامل

Monotonicity and Symmetry of Positive Solutions to Nonlinear Elliptic Equations : Local Moving Planes and Unique Continuation

We prove local properties of symmetry and monotonicity for nonnegative solutions of scalar eld equations with nonlinearities which are not Lipschitz. Our main tools are a local Moving Planes method and a unique continuation argument which is connected with techniques used for proving the uniqueness of radially symmetric solutions.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2011

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2011.v18.n5.a9