Results 41 to 50 of about 516,813 (372)
$$C^{\sigma +\alpha }$$Cσ+α regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels [PDF]
, 2014 We establish $$C^{\sigma +\alpha }$$Cσ+α interior estimates for concave nonlocal fully nonlinear equations of order $$\sigma \in (0,2)$$σ∈(0,2) with rough kernels. Namely, we prove that if $$u\in C^{\alpha }(\mathbb {R}^n)$$u∈Cα(Rn) solves in $$B_1$$B1 a
J. Serra
semanticscholar +1 more source
Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj +1 more source
The Cauchy problem for nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Abstract This paper is devoted to investigation of the Cauchy problem for nonlinear equations with a small parameter. They are actually small perturbations of linear elliptic equations in which case the Cauchy problem is ill-posed. To study the Cauchy problem we invoke purely nonlinear methods, such as successive iterations and L q ...
Ly, I., Tarkhanov, Nikolai Nikolaevich
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Nonlinear elliptic equations on Carnot groups
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016 This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity (for the critical case we refer to G. Molica Bisci and D. Repov , Yamabe-type equations on Carnot groups, Potential Anal. 46:2 (2017), 369-383; arXiv:1705.10100 [math.AP]).
Ferrara M, Molica Bisci G, Repovs R
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On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds [PDF]
Journal of Geometric Analysis, 2013 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive C∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
Weiling Sun
semanticscholar +1 more source
Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms
, 2010 A unified treatment is given of low-weight modular forms on \Gamma_0(N), N=2,3,4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, which yields a ...
A. Enneper +40 more
core +1 more source
Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
, 2015 We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
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Gradient estimates and comparison principlefor some nonlinear elliptic equations
, 2015 We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a first order term. We show how the summability of the gradient of a solution increases when the summability of the datum increases.
M. Betta +3 more
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Advanced Engineering Materials, EarlyView.This study explores the ablation efficiency and surface quality of laser‐treated stainless steel alloys (AISI 304, AISI 420, and AISI 316Ti) using an ultrashort pulsed laser and varying burst parameters (MHz, GHz, and Bi‐burst). Both ablation rates and surface quality parameters are determined, including isotropy surface roughness values, highlighting ...
Dirk Obergfell +2 more
wiley +1 more source