Harnack inequality for nonlocal problems with non-standard growth
نویسندگان
چکیده
Abstract We prove a full Harnack inequality for local minimizers, as well weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are boundedness and functions in corresponding De Giorgi class. This paper builds upon recent work on regularity estimates such by the same authors.
منابع مشابه
Harnack ’ s inequality for some nonlocal equations and application
In this paper, we establish a Harnack’s inequality for positive solutions of the nonlocal inhomogeneous problem
متن کاملGrowth Theorems and Harnack Inequality for Second Order Parabolic Equations
A general approach to both divergence (D) and non-divergence (ND) second order parabolic equations is presented, which is based on three growth theorem. These growth theorems look identical in both cases (D) and (ND). They allow to prove the Harnack inequality and other related facts by general arguments, which do not depend on the structure (divergence or nondivergence) of equations. In turn, ...
متن کاملBoundary Harnack principle and elliptic Harnack inequality
We prove a scale-invariant boundary Harnack principle for inner uniform domains over a large family of Dirichlet spaces. A novel feature of our work is that our assumptions are robust to time changes of the corresponding diffusions. In particular, we do not assume volume doubling property for the symmetric measure.
متن کاملInequality Problems of Equilibrium Problems with Application
This paper aims at establishing the existence of results for a nonstandard equilibrium problems $(EP_{N})$. The solutions of this inequality are discussed in a subset $K$ (either bounded or unbounded) of a Banach spaces $X$. Moreover, we enhance the main results by application of some differential inclusion.
متن کاملHarnack Inequality for Functional Sdes with Bounded Memory
We use a coupling method for functional stochastic differential equations with bounded memory to establish an analogue of Wang’s dimension-free Harnack inequality [13]. The strong Feller property for the corresponding segment process is also obtained.
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: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-022-02405-9