Results 21 to 30 of about 416 (68)

Asymptotic and optimal Liouville properties for Wolff type integral systems [PDF]

, 2016
This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establishes an optimal existence result and a Liouville type theorem for the ...
Caffarelli, Caffarelli, Caristi, Chen, Chen, Chen, Chen, Chen, Cheng, Dou, Dávila, D’Ambrosio, Gidas, Gidas, Hénon, John Villavert, Kilpeläinen, Lei, Lei, Lei, Lei, Li, Lieb, Lu, Mitidieri, Mitidieri, Phan, Phuc, Poláčik, Serrin, Souplet, Sun, Villavert, Villavert, Villavert, Villavert, Yang   +36 more
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Comparison results for nonlinear divergence structure elliptic PDE’s

Advances in Nonlinear Analysis, 2019
First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric boundary ...
Liu Yichen, Marras Monica, Porru Giovanni   +2 more
doaj   +1 more source

Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights

Advanced Nonlinear Studies, 2020
In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta, Manasevich Raúl, Tanaka Satoshi   +2 more
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On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables

Advances in Nonlinear Analysis, 2014
We turn back to some pioneering results concerning, in particular, nonlinear potential theory and non-homogeneous boundary value problems for the so-called p-Laplace operator.
Beirão da Veiga Hugo
doaj   +1 more source

A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes

, 2017
The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.Comment: 5 ...
Klaus, Colin, Liao, Naian
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On sign-changing solutions for (p,q)-Laplace equations with two parameters

Advances in Nonlinear Analysis, 2016
We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for a two-parametric family of partially homogeneous (p,q){(p,q)}-Laplace equations -Δp⁢u-Δq⁢u=α⁢|u|p-2⁢u+β⁢|u|q-2⁢u{-\Delta_{p}u-\Delta_{q}u=\alpha\lvert u\rvert^{p-
Bobkov Vladimir, Tanaka Mieko
doaj   +1 more source

On the stability of standing waves of Klein-Gordon equations in a semiclassical regime

, 2012
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______, ______, ______, ______, A. Ambrosetti, A. Ambrosetti, A. Azzollini, C. A. Stuart, C. D. Sogge, D. M. A. Stuart, E. Deumens, E. Long, F. A. Berezin, G. Vaira, H. Berestycki, I. Ianni, J. Shatah, J. Shatah, L. Aloui, L. Jeanjean, M. Beals, M. Grillakis, M. I. Weinstein, M. I. Weinstein, M. Keel, M. Ohta, Marco Ghimenti, Marco Squassina, R. K. Dodd, S. Cuccagna, S. Le Coz, S. Le Coz, Stefan Le Coz, T. Cazenave, T. Cazenave, T. D'Aprile, T. Tao, T.-C. Lin, V. Benci, Y. Liu, Y. Yu, Y.-G. Oh   +41 more
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Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

Advances in Nonlinear Analysis, 2023
In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
doaj   +1 more source

Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

, 2013
In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert, Pietschmann, Jan-Frederik, Schlottbom, Matthias   +2 more
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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

Advances in Nonlinear Analysis, 2019
In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
doaj   +1 more source