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Results tagged with ap.analysis-of-pdes
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user 34154
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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Gradient estimates for subsolutions of elliptic equations
Let $M$ be a Riemannian manifold. Assume $u \in C^\infty(M)$ such that $u>0$ and
$\Delta u + \lambda u = 0,$
where $\lambda \geq 0$. There is a poinwise estimate for $|\nabla u|$ in Peter Li's book …
- 56
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Estimates for Green's function
I don't know if this helps you...
Consider the warped product metric on $M^n = R \times S^{n-1}$
$ds^2 = dr^2 + f(r)^2 ds_{S^{n-1}}.$
Assume $u=u(r)$, where $r$ is the distance function from some f …
- 56
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Accepted