Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schrödinger term
نویسندگان
چکیده
We prove in this paper the global Lorentz estimate term of fractional-maximal function for gradient weak solutions to a class p-Laplace elliptic equations containing non-negative Schrödinger potential which belongs reverse Hölder classes. In particular, operator includes both degenerate and non-degenerate cases. The interesting idea is use an efficient approach based on level-set inequality related distribution harmonic analysis.
منابع مشابه
Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight
This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight. We apply the variational methods to prove the existence of ground state solution.
متن کاملThe Nehari Manifold for a Class of Elliptic Equations of P-laplacian Type
1 1 , , 0, , r s p u u h x u dx g x u dx x u x + + −∆ = + ∈ Ω = ∈ ∂Ω () 1, 0 p W Ω () () () 1 1 , 0. r s p u x h x u dx g x u dx in u on + + −∆ = + Ω = ∂Ω () E () () 1 1 / r p s Np N p N p < < − < < − + − () () () 0 0 r h L L C ∞ ∈ Ω Ω Ω 0 1 1 1, r r p * + + = ()() 0. 1 Np r Np r N p = − + − () () 0 s g L L ∞ ∈ Ω Ω 0 1 1 1, s s p * + + = ()() 0 ,. 1 Np Np s p Np s N p N p * ...
متن کاملPath Integrals for a Class of P - Adic Schrödinger Equations
The theme of doing quantum mechanics on all abelian groups goes back to Schwinger and Weyl. If the group is a vector space of finite dimension over a non-archimedean locally compact division ring, it is of interest to examine the structure of dynamical systems defined by Hamiltonians analogous to those encountered over the field of real numbers. In this letter a path integral formula for the im...
متن کاملAnd Pointwise Estimates for a Class of Degenerate Elliptic Equations
In this paper we prove a Sobolev-Poincaré inequality for a class of function spaces associated with some degenerate elliptic equations. These estimates provide us with the basic tool to prove an invariant Harnack inequality for weak positive solutions. In addition, Holder regularity of the weak solutions follows in a standard way. 1 Let Sf = YJl ,=i 9j(ajjdj) be a second-order degenerate ellipt...
متن کاملLorentz Estimates for Asymptotically Regular Fully Nonlinear Elliptic Equations
We prove a global Lorentz estimate of the Hessian of strong solutions to a class of asymptotically regular fully nonlinear elliptic equations over a C1,1 smooth bounded domain. Here, the approach of the main proof is based on the Possion’s transform from an asymptotically regular elliptic equation to the regular one.
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 Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124806