Singular solutions of thep-Laplace equation
نویسندگان
چکیده
منابع مشابه
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 کاملPositive Solutions for Singular Nonlinear Beam Equation
In paper, we study the existence of solutions for the singular pLaplacian equation` |u′′|p−2u′′ ́′′ − f(t, u) = 0, t ∈ (0, 1) u(0) = u(1) = 0, u′′(0) = u′′(1) = 0, where f(t, u) is singular at t = 0, 1 and at u = 0. We prove the existence of at least one solution.
متن کاملexplicit 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 de...
متن کاملBlow-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 کاملWeak and Viscosity Solutions of the Fractional Laplace Equation
Aim of this paper is to show that weak solutions of the following fractional Laplacian equation { (−∆)su = f in Ω u = g in Rn \ Ω are also continuous solutions (up to the boundary) of this problem in the viscosity sense. Here s ∈ (0, 1) is a fixed parameter, Ω is a bounded, open subset of Rn (n > 1) with C2-boundary, and (−∆)s is the fractional Laplacian operator, that may be defined as (−∆)u(x...
متن کاملذخیره 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: Mathematische Annalen
سال: 1987
ISSN: 0025-5831,1432-1807
DOI: 10.1007/bf01457369