Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

نویسندگان

  • Shuhong Chen
  • Zhong Tan
  • Paul Eloe
چکیده

and Applied Analysis 3 Lemma 5 (A-harmonic approximation lemma). Consider fixed positive λ and L, and n,N ∈ N with n ≥ 2. Then for any given ε > 0 there exists δ = δ(n,N, λ, L, ε) ∈ (0, 1] with the following property: for any A ∈ Bil (RnN) satisfying A (], ]) ≥ λ|]| 2 for all ] ∈ R nN

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent

In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.

متن کامل

Boundary regularity result for quasilinear elliptic systems

* Correspondence: shiny0320@163. com Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China Full list of author information is available at the end of the article Abstract We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for ...

متن کامل

Optimal Partial Regularity for Nonlinear Sub-elliptic Systems Related to Hörmander’s Vector Fields

This paper is concerned with partial regularity for weak solutions to nonlinear sub-elliptic systems related to Hörmander’s vector fields. The method of A-harmonic approximation introduced by Simon and developed by Duzaar and Grotowski is adapted to our context, and then a Caccioppoli-type inequality and partial regularity with optimal local Hölder exponent for gradients of weak solutions to th...

متن کامل

ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variatio...

متن کامل

Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014