Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi, I am interested in finding some vanish bahavior at infinity of the solutions of this kind of equations:


where $a(x), b(x)\in L^{p}$ with $1\leq p\leq 3$. Besides $\phi\in\mathcal{D}^{1,2}(\mathbb{R}^3)$ which is the completion of $C_0^{\infty}(\mathbb{R}^3)$ with respect to the norm $\|\phi\|_{\mathcal{D^{1,2}}}^2=\int|\nabla u|^2$.

Well, I think that using Potential Theory I can get this kind of property for the Poisson equation, and then mabye the same is true for my problem.

Any ideas are welcame.

share|cite|improve this question
Is $a(x)$ positive? – timur Dec 16 '11 at 23:07

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.