Results 31 to 40 of about 427 (68)

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 the relationship of continuity and boundary regularity in PMC Dirichlet problems [PDF]

, 2015
In 1976, Leon Simon showed that if a compact subset of the boundary of a domain is smooth and has negative mean curvature, then the non-parametric least area problem with Lipschitz continuous Dirichlet boundary data has a generalized solution which is ...
Lancaster, Kirk, Melin, Jaron
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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
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A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition

Advances in Nonlinear Analysis, 2021
We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations.
Huang Chen
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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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Bifurcation analysis for a modified quasilinear equation with negative exponent

Advances in Nonlinear Analysis, 2021
In this paper, we consider the following modified quasilinear problem:
Chen Siyu, Santos Carlos Alberto, Yang Minbo, Zhou Jiazheng   +3 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
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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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Existence and Regularity for Solution to a Degenerate Problem with Singular Gradient Lower Order Term

Moroccan Journal of Pure and Applied Analysis, 2022
We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is {-div(b(x)|∇u|p-2∇u(1+|u|)γ)+|∇u|p|u|θ=f,in Ω,u=0,on ∂Ω,\left\{ {\matrix{ { - div ...
Khelifi Hichem
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