ELLIPTIC EQUATIONS WITH COMPACTLY SUPPORTED SOLUTIONS

Title & Authors
ELLIPTIC EQUATIONS WITH COMPACTLY SUPPORTED SOLUTIONS
Arena, Orazio; Giannotti, Cristina;

Abstract
For any $\small{p{\in}(1,2)}$ and arbitrary $\small{f{\in}L^p(\mathbb{R}^2)}$ with compact support, it is proved that there exists a pair (L, $\small{u}$), with L second order uniformly elliptic operator and $\small{u{\in}W_0^{2,p}(\mathbb{R}^2)}$ such that $\small{Lu=f}$ a.e. in $\small{\mathbb{R}^2}$.
Keywords
second order elliptic equations;compactly supported solutions;
Language
English
Cited by
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