Results 241 to 250 of about 75,181 (273)
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Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities
Journal of Differential Equations, 2023W. Shuai
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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
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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
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Gradient estimates for semilinear elliptic equations
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985SynopsisEstimates 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.
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Singular Solutions for some Semilinear Elliptic Equations
Archive for Rational Mechanics and Analysis, 1987This 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
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Nonlinear Differential Equations and Applications NoDEA, 2020
Yasuhito Miyamoto, Y. Naito
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Yasuhito Miyamoto, Y. Naito
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker+2 more
exaly
Generalized bioelectric impedance‐based equations underestimate body fluids in athletes
Scandinavian Journal of Medicine and Science in Sports, 2021Luís Sardinha+2 more
exaly