Harnackʼs inequality for solutions to the linearized Monge–Ampère operator with lower-order terms
نویسندگان
چکیده
منابع مشابه
Renormalized Solutions for Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces
The purpose of this paper is to prove the existence of a renormalized solution of perturbed elliptic problems$ -operatorname{div}Big(a(x,u,nabla u)+Phi(u) Big)+ g(x,u,nabla u) = mumbox{ in }Omega, $ in the framework of Orlicz-Sobolev spaces without any restriction on the $M$ N-function of the Orlicz spaces, where $-operatorname{div}Big(a(x,u,nabla u)Big)$ is a Leray-Lions operator defined f...
متن کاملHarnack’s Inequality for Solutions to the Linearized Monge-ampère Equation under Minimal Geometric Assumptions
We prove a Harnack inequality for solutions to LAu = 0 where the elliptic matrix A is adapted to a convex function satisfying minimal geometric conditions. An application to Sobolev inequalities is included.
متن کاملMicrolocal Time Decays for Hyperbolic Equations with Lower Order Terms
In this paper we present microlocalised time-decay rates of solutions to hyperbolic equations with constant coefficients with arbitrary lower order terms. A particular attention is paid to regions with multiplicities. AMS Mathematics Subject Classification (2000): 35L30, 35L45
متن کاملLower order eigenvalues of the biharmonic operator
Abstract In this paper we consider the lower order eigenvalues of biharmonic operator on compact Riemannian manifolds with boundary (possibly empty) and prove a type of general inequalities for them. In particular, we study the lower order eigenvalues of biharmonic operator on compact submanifolds of Euclidean spaces, of spheres, and of projective spaces. We obtain some estimates for lower orde...
متن کاملHigher Order Terms in Multiscale Expansions: A Linearized KdV Hierarchy
We consider a wide class of model equations, able to describe wave propagation in dispersive nonlinear media. The Korteweg-de Vries (KdV) equation is derived in this general frame under some conditions, the physical meanings of which are clarified. It is obtained as usual at leading order in some multiscale expansion. The higher order terms in this expansion are studied making use of a multi-ti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2014
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.12.013