Results 101 to 110 of about 15,291 (210)

Regularity of solutions to doubly nonlinear diffusion equations

Electronic Journal of Differential Equations, 2009
We prove under weak assumptions that solutions $u$ of doubly nonlinear reaction-diffusion equations $$ dot{u}=Delta_p u^{m-1} + f(u) $$ to initial values $u(0) in L^a$ are instantly regularized to functions $u(t) in L^infty$ (ultracontractivity ...
Jochen Merker
doaj  

A regularity theorem for fully nonlinear maximally subelliptic PDE

We prove a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in non-isotropic Sobolev spaces adapted to maximally subelliptic operators.
Memana, Gautam Neelakantan
core  

Global regularity for nonlinear systems with symmetric gradients

Behn L, Diening L. Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations. 2024;63(3): 60.We study global regularity of nonlinear systems of partial differential equations depending on ...
Diening, Lars ; https://orcid.org/, Behn, Linus ; https://orcid.org/   +1 more
core   +1 more source

$L^{2,Phi}$ regularity for nonlinear elliptic systems of second order

Electronic Journal of Differential Equations, 2002
This paper is concerned with the regularity of the gradient of the weak solutions to nonlinear elliptic systems with linear main parts. It demonstrates the connection between the regularity of the (generally discontinuous) coefficients of the linear ...
Josef Danecek, Eugen Viszus
doaj  

Optimal Partial Regularity for Nonlinear Elliptic Systems of Higher Order

, 2001
We consider the question of partial regularity for weak solutions to homogeneous nonlinear elliptic systems of higher order in divergence form. As well as characterizing the singular set, we show optimal regularity for the solution on its regular set ...
Grotowski Joseph F, Gastel Andreas, Duzaar Frank   +2 more
core  

A weighted (p,2)-equation with double resonance

Electronic Journal of Differential Equations, 2023
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj  

Viscosity solutions to degenerate diffusion problems

Electronic Journal of Differential Equations, 2007
This paper concerns the weak solutions to a Cauchy problem in $R^N$ for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.
Zu-Chi Chen, Yan-Yan Zhao
doaj  

Asymptotic Regularity of a Generalised Stochastic Halpern Scheme. [PDF]

J Optim Theory Appl
Pischke N, Powell T.
europepmc   +1 more source

Global Results for Weakly Dispersive KP-II Equations on the Cylinder. [PDF]

Arch Ration Mech Anal
Herr S, Schippa R, Tzvetkov N.
europepmc   +1 more source

Thermo-elastodynamics of nonlinearly viscous solids. [PDF]

Calc Var Partial Differ Equ
Almi S, Badal R, Friedrich M, Schwarzacher S.   +3 more
europepmc   +1 more source