Tags » Maximum Principle

f-extremal disk

In the last nonlinear analysis seminar, Professor Espinar talked about the overdetermined elliptic problem(OEP) which looks like the following

There is a BCN conjecture related to this… 88 more words

PDE

Harnack inequality implies Holder continuity

We will show a basic argument why Harnack inequality implies Holder continuity. Assume is a weak solution to a uniform elliptic equation

in . Assume we have Harnack inequality (Indeed we do have due to Moser), i.e. 83 more words

Elliptic Theory

Dynamic optimisation, also known as optimal control, is one of the most important techniques of environmental and natural resource economics.  Although it’s difficult,  the basics should be a compulsory element of graduate-level courses in these fields.1,862 more words

Environment (general)

Newtonian Potential

— 1. Definition of Newtonian Potential —

Definition 1 Let be a bounded open set, we define the Newtonian potential of is the function on by…

882 more words
Elliptic Theory