Results 71 to 80 of about 1,033 (104)

On Removable Singularities of Solutions of Higher-Order Differential Inequalities

Advanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
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Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]

Math Ann, 2023
David G, Feneuil J, Mayboroda S.
europepmc   +1 more source

Large solutions to non-divergence structure semilinear elliptic equations with inhomogeneous term

Advances in Nonlinear Analysis, 2017
Motivated by the work [9], in this paper we investigate the infinite boundary value problem associated with the semilinear PDE L⁢u=f⁢(u)+h⁢(x){Lu=f(u)+h(x)} on bounded smooth domains Ω⊆ℝn{\Omega\subseteq\mathbb{R}^{n}}, where L is a non-divergence ...
Mohammed Ahmed, Porru Giovanni
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The Gelfand problem for the 1-homogeneous p-Laplacian

Advances in Nonlinear Analysis, 2017
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José, Molino Salas Alexis, Rossi Julio D.   +2 more
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An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli

Analysis and Geometry in Metric Spaces
We present an overview of the scientific activity of Ermanno Lanconelli, to whom this volume is dedicated on the occasion of his birthday.
Bonfiglioli Andrea, Citti Giovanna, Cupini Giovanni, Kogoj Alessia E., Manfredini Maria, Montanari Annamaria, Morbidelli Daniele, Pascucci Andrea, Polidoro Sergio, Tralli Giulio, Uguzzoni Francesco   +10 more
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On Cauchy–Liouville-type theorems

Advances in Nonlinear Analysis, 2017
In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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On the Dirichlet Problem for a Class of Nonlinear Degenerate Elliptic Equations in Weighted Sobolev Spaces

Annales Mathematicae Silesianae
In this paper we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations − div𝒜x,u,Δu ω1+ℬx,u,∇uν1+ℋx,u,∇uν2+up−2 u ω2−∑i,j=1nDjaijxDiux=f0x−∑j=1nDjfjx     in  Ω,ux=0     on ∂Ω ...
Cavalheiro Albo Carlos
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Doubly Critical Problems Involving Fractional Laplacians in ℝN

Advanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
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