Existence of positive continuous weak solutions for some semilinear elliptic eigenvalue problems

Let \(D\) be a bounded \(C^{1,1}\)-domain in \(\mathbb{R}^d\), \(d\geq 2\). The aim of this article is twofold. The first goal is to give a new characterization of the Kato class of functions \(K(D)\) that was defined by N. Zeddini for \(d=2\) and by H. Mâagli and M. Zribi for \(d\geq 3\) and adapte...

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Bibliographic Details
Main Authors: Noureddine Zeddini, Rehab Saeed Sari
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2022-04-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol42/3/art/opuscula_math_4222.pdf