Results 11 to 20 of about 1,033 (104)
Boundary regularity for manifold constrained p(x)‐harmonic maps
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2335-2375, December 2021., 2021 Abstract We prove partial and full boundary regularity for manifold constrained p(x)‐harmonic maps.
Iwona Chlebicka +2 more
wiley +1 more source
An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions [PDF]
, 2009 We present a new, easy, and elementary proof of Jensen's Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.Comment: 4 pages; comments added ...
A.M. Oberman +9 more
core +4 more sources
Phragm\'en-Lindel\"of theorem for infinity harmonic functions [PDF]
, 2015 We investigate a version of the Phragm\'en-Lindel\"of theorem for solutions of the equation $\Delta_\infty u=0$ in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the $p$-harmonic equation when
Granlund, Seppo, Marola, Niko
core +2 more sources
A strong comparison principle for positive solutions of degenerate elliptic equations
Differential and Integral Equations, 2000 A strong comparison principle (SCP, for brevity) is obtained for nonnegative weak solutions u ∈ W 1,p 0 (Ω) of the following class of quasilinear elliptic boundary value problems, (P ) −div(a(x,∇u))− b(x, u) = f(x) in Ω; u = 0 on ∂Ω. Here, p ∈ (1,∞) is a
M. Cuesta, P. Takáč
semanticscholar +1 more source
Flat solutions of the 1-Laplacian equation [PDF]
, 2017 For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
core +3 more sources
Regularity results for p-Laplacians in pre-fractal domains
Advances in Nonlinear Analysis, 2018 We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela +2 more
doaj +1 more source
HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS
Mathematika, Volume 61, Issue 2, Page 475-500, May 2015., 2015 We study the system of Maxwell equations for a periodic composite dielectric medium with components whose dielectric permittivities have a high degree of contrast between each other. We assume that the ratio between the permittivities of the components with low and high values of is of the order , where is the period of the medium.
Kirill Cherednichenko, Shane Cooper
wiley +1 more source
Local and Global Existence of Strong Solutions to Large Cross Diffusion Systems
Advanced Nonlinear Studies, 2018 We study the solvability of a general class of cross diffusion systems and establish the local and global existence of their strong solutions under the weakest assumption that they are VMO.
Le Dung
doaj +1 more source
Advances in Nonlinear Analysis, 2023 The article deals with the existence of a pair of nontrivial nonnegative and nonpositive solutions for a nonlinear weighted quasilinear equation in RN{{\mathbb{R}}}^{N}, which involves a double-phase general variable exponent elliptic operator A{\bf{A}}.
Liu Jingjing, Pucci Patrizia
doaj +1 more source
Ni-Serrin type equations arising from capillarity phenomena with non-standard growth
, 2013 In the present paper, in view of the variational approach, we discuss a Ni-Serrin type equation involving non-standard growth condition and arising from the capillarity phenomena.
M. Avci
semanticscholar +1 more source