Results 71 to 80 of about 2,533 (95)

Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]

Entropy (Basel), 2022
Li Y, Ma W.
europepmc   +1 more source

On a Singular Robin Problem with Convection Terms

Advanced Nonlinear Studies, 2020
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto, Marano Salvatore A., Motreanu Dumitru   +2 more
doaj   +1 more source

Harnack type inequality on Riemannian manifolds of dimension 5

, 2013
We give some estimates of type sup * inf on Riemannian manifold of dimension 5.Comment: 12 pages.
Bahoura, Samy Skander, Prajapat, Jyotshana V.   +1 more
core   +1 more source

Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities

Open Mathematics, 2017
We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.
Bodzioch Mariusz, Wiśniewski Damian, Żyjewski Krzysztof   +2 more
doaj   +1 more source

Concentration-Compactness Principle of Singular Trudinger--Moser Inequalities in ℝn and n-Laplace Equations

Advanced Nonlinear Studies, 2018
In this paper, we use the rearrangement-free argument, in the spirit of the work by Li, Lu and Zhu [25], on the concentration-compactness principle on the Heisenberg group to establish a sharpened version of the singular Lions concentration-compactness ...
Zhang Caifeng, Chen Lu
doaj   +1 more source

Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
doaj   +1 more source

Some properties of the Schouten tensor and applications to conformal geometry

, 2002
The note is about some nonlinear curvature conditions which arise naturally in conformal geometry.Comment: 10 ...
Guan, Pengfei, Viaclovsky, Jeff, Wang, Guofang   +2 more
core  

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
doaj   +1 more source

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

Stability and critical dimension for Kirchhoff systems in closed manifolds

Advanced Nonlinear Studies
The Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
doaj   +1 more source