Estimating potential functions with applications to elliptic problems in half space
S Ezzdini, ZZ El Abidine - Complex Variables and Elliptic Equations, 2024 - Taylor & Francis
We first derive sharp estimates on some potential functions on the half space R+ n:={x=(x
1,…, xn)∈ R n; xn> 0}, n≥ 3. Then, these estimates are applied to demonstrate the …
1,…, xn)∈ R n; xn> 0}, n≥ 3. Then, these estimates are applied to demonstrate the …
Positive continuous solutions for some semilinear elliptic problems in the half space
The aim of this article is twofold. The first goal is to give a new characterization of the Kato
class of functions K∞(R+ d) that was defined in (Bachar et al. 2002: 41,) for d= 2 and in …
class of functions K∞(R+ d) that was defined in (Bachar et al. 2002: 41,) for d= 2 and in …
Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn
A Dhifli - Opuscula Mathematica, 2015 - yadda.icm.edu.pl
This paper is concerned with positive solutions of the semilinear polyharmonic equation (−∆)
mu= a (x) uα on Rn, where m and n are positive integers with n> 2m, α∈(− 1, 1). The …
mu= a (x) uα on Rn, where m and n are positive integers with n> 2m, α∈(− 1, 1). The …