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Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

Israel Journal of Mathematics, 2016
We study a nonlinear equation in the half-space {x1 > 0} with a Hardy potential, specifically −Δu−μx12u+up=0inℝ+n,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
C. Bandle, M. Marcus, Vitaly Moroz
semanticscholar   +1 more source

Gradient estimates for semilinear elliptic equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985
SynopsisEstimates on the gradient of solutions to the Dirichlet problem for a semilinear elliptic equation are given when the nonlinearity in the equation is quadratic with respect to the gradient of the solution. These estimates extend results of F. Tomi to less smooth boundary data and results of the author to the full quadratic growth.
openaire   +3 more sources

Singular Solutions for some Semilinear Elliptic Equations

Archive for Rational Mechanics and Analysis, 1987
This paper studies solutions \(u\in C\) \(2(B_ R\setminus 0)\) of the equation \(-\Delta u+u\) \(p=0\), \(u\geq 0\) on \(B_ R\setminus 0\), the dimension of the underlying space being N.
Luc Oswald, Haim Brezis
openaire   +2 more sources

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

Generalized bioelectric impedance‐based equations underestimate body fluids in athletes

Scandinavian Journal of Medicine and Science in Sports, 2021
Luís Sardinha   +2 more
exaly  

Some analytical and numerical investigation of a family of fractional‐order Helmholtz equations in two space dimensions

Mathematical Methods in the Applied Sciences, 2020
Hari Mohan Srivastava   +2 more
exaly  

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