Guide to nonlinear potential estimates.

نویسندگان

  • Tuomo Kuusi
  • Giuseppe Mingione
چکیده

One of the basic achievements in nonlinear potential theory is that the typical linear pointwise estimates via fundamental solutions find a precise analog in the case of nonlinear equations. We give a comprehensive account of this fact and prove new unifying families of potential estimates. We also describe new fine properties of solutions to measure data problems.

برای دانلود رایگان 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

Comparison of time to the event and nonlinear regression models in the analysis of germination data

Extended abstract   Introduction: Numerous studies are being carried out to reveal the effects of different treatments on the germination of seeds from various plants. The most commonly used method of analysis is the nonlinear regression which estimates germination parameters. Although the nonlinear regression has been performed based on different models, some serious problems in its structure...

متن کامل

An equivalent representation for weighted supremum norm on the upper half-plane

In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresenta...

متن کامل

Employing Sensor Network to Guide Firefighters in Dangerous Area

In this paper, we intend to focus on the sensor network applications in firefighting. A distributed algorithm is developed for the sensor network to guide firefighters through a burning area. The sensor network models the danger of the area under coverage as obstacles, and has the property to adapt itself against possible changes. The protocol developed, will integrate the artificial potential ...

متن کامل

Nonlinear tunneling in a fiber guide array resonator.

A fiber guide array resonator is proposed and shown to obey a nonlinear Schrödinger model in a square well potential with nonlinearity defocusing inside the well and focusing outside. This model is proved to possess nonlinear states which are i) continuous extensions of the linear eigenstates, ii) remarkably stable up to a threshold amplitude, iii) unstable at the threshold where nonlinear tunn...

متن کامل

Testing Fiscal Reaction Function in Iran: An Application of Nonlinear Dickey-Fuller (NDF) Test

Abstract T his paper is to convince the usage of the nonlinear unit root tests when dealing with a nonlinear model. To do so, the stationary test for variables in a model titles “Fiscal Reaction Function in Iran” has been applied according to both the ordinary and the Nonlinear Dickey-Fuller (NDF) tests. Results show that while variables under investigation are stationary ...

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

عنوان ژورنال:
  • Bulletin of mathematical sciences

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2014