Some remarks on singular solutions of nonlinear elliptic equations. I [PDF]
Journal of Fixed Point Theory and Applications, 2009 The paper concerns singular solutions of nonlinear elliptic ...
Caffarelli, Luis +2 more
core +3 more sources
Boundary singularities of positive solutions of some nonlinear elliptic equations [PDF]
, 2007 We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a.
Bidaut-Veron, Marie-Francoise +2 more
core +4 more sources
W2,-estimates for fully nonlinear elliptic equations with oblique boundary conditions
, 2020 We study fully nonlinear elliptic equations with oblique boundary conditions. We obtain a global W 2 , p -estimate, n − τ 0 p ∞ , for viscosity solutions of such problems when the boundary of the domain is in C 2 , α for every 0 α 1 .
Sun-Sig Byun, J. Han
semanticscholar +1 more source
Boundary pointwise C1, and C2, regularity for fully nonlinear elliptic equations
, 2020 In this paper, we obtain the boundary pointwise C 1 , α and C 2 , α regularity for viscosity solutions of fully nonlinear elliptic equations. That is, if ∂Ω is C 1 , α (or C 2 , α ) at x 0 ∈ ∂ Ω , the solution is C 1 , α (or C 2 , α ) at x 0 .
Yuanyuan Lian, Kai Zhang
semanticscholar +1 more source
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms [PDF]
Journal of Computational Physics, 2016 We describe and analyze preconditioned steepest descent (PSD) solvers for fourth and sixth-order nonlinear elliptic equations that include p-Laplacian terms on periodic domains in 2 and 3 dimensions.
Wenqiang Feng +3 more
semanticscholar +1 more source
Fractional Differentiability for Solutions of Nonlinear Elliptic Equations [PDF]
Potential Analysis, 2016 We study nonlinear elliptic equations in divergence form divA(x,Du)=divG.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
A. L. Bais'on +4 more
semanticscholar +1 more source
Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj +1 more source
Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj +1 more source
Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
doaj +1 more source
Linear Superposition in Nonlinear Equations [PDF]
, 2001 Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions.
A. C. Newell +13 more
core +3 more sources