On computation of solutions of fully nonlinear elliptic problems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

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

Existence of strong solutions of fully nonlinear elliptic equations

The aim of this paper is to study the solvability of the Dirichlet problem for certain types of fully nonlinear elliptic equations. The theory of weakly-near operators, combined to Contraction Mapping and Schauder fixed point theorems, is used. Our main results generalizes similar ones given by S. Campanato and A. Tarsia.

متن کامل

Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains

Let Ω ⊂ R be a ball or an annulus and f : R → R absolutely continuous, superlinear, subcritical, and such that f(0) = 0. We prove that the least energy nodal solution of −∆u = f(u), u ∈ H 0 (Ω), is not radial. We also prove that Fučik eigenfunctions, i. e. solutions u ∈ H 0 (Ω) of −∆u = λu − μu−, with eigenvalue (λ, μ) on the first nontrivial curve of the Fučik spectrum, are not radial. A relat...

متن کامل

Entire Solutions to a Class of Fully Nonlinear Elliptic Equations

We study nonlinear elliptic equations of the form F (Du) = f(u) where the main assumption on F and f is that there exists a one dimensional solution which solves the equation in all the directions ξ ∈ Rn. We show that entire monotone solutions u are one dimensional if their 0 level set is assumed to be Lipschitz, flat or bounded from one side by a hyperplane.

متن کامل

Smooth approximations to solutions of nonconvex fully nonlinear elliptic equations

We show that fully nonlinear elliptic PDEs (which may not have classical solutions) can be approximated with integro-differential equations which have C solutions. For these approximated equation we prove a uniform C estimate. We also study the rate of convergence.

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: Journal of Computational and Applied Mathematics

سال: 1992

ISSN: 0377-0427

DOI: 10.1016/0377-0427(92)90137-m