New explicit solutions to the p-Laplace equation based on isoparametric foliations

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

Generalizations of Isoparametric Foliations

Isoparametric submanifolds and hypersurfaces in space forms are geometric objects that have been studied since É. Cartan. Another important class of geometric objects is the orbits of polar actions on a Riemannian manifold, e.g., the orbits of the adjoint action of a compact Lie group on itself. These two classes of submanifolds share some common properties. For example, they are leaves of sing...

متن کامل

Blow-up of Solutions to a p-Laplace Equation

Consider two perfectly conducting spheres in a homogeneous medium where the current-electric field relation is the power law. Electric field E blows up in the L∞-norm as δ, the distance between the conductors, tends to zero. We give here a concise rigorous justification of the rate of this blow-up in terms of δ. If the current-electric field relation is linear, see similar results obtained earl...

متن کامل

Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...

متن کامل

On the non-vanishing property for real analytic solutions of the p-Laplace equation

By using a nonassociative algebra argument, we prove that u ≡ 0 is the only cubic homogeneous polynomial solution to the p-Laplace equation div|Du|p−2Du(x) = 0 in Rn for any n ≥ 2 and p 6∈ {1, 2}.

متن کامل

ENCLOSURE METHOD FOR THE p-LAPLACE EQUATION

We study the enclosure method for the p-Calderón problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderón that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, wh...

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: Differential Geometry and its Applications

سال: 2020

ISSN: 0926-2245

DOI: 10.1016/j.difgeo.2020.101629