José Carlos
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 Oct10 asked Fundamental solution of Poisson equation in the Hyperbolic Plane Oct4 comment finding the range of the linear transformation What is the set $P$? Sep24 awarded Autobiographer Aug22 awarded Critic Aug21 awarded Supporter Jul14 revised Question about a particular estimate in Riemannian geometry. added 1925 characters in body Jul12 asked Question about a particular estimate in Riemannian geometry. Jul2 awarded Curious May19 comment Consequence of elliptic estimates up to the boundary Let me answer your questions. By the supremum definition, there exists a sequence $(y^j)_j$ such that $u(y^{j})\rightarrow M$, therefore you have no hypothesis about the behavior of this sequence and you have no hypothesis about the behavior of the solution $u$ at the infinity, you have only a solution of this problem. The "t-finite interval" means that for each subset $[0,t]\subset[0,\infty]$, the function $f$ is Lipschitz in $u$ on $[0,M]$. My doubt can be found in the Lemma $1$ of the paper "Symmetry for elliptic equations in a half space - Berestycki, Caffarelli, Nirenberg". May18 asked Consequence of elliptic estimates up to the boundary May8 asked Gradient elliptic estimate. Apr26 accepted Uniform convergence in the Poisson equation… Apr26 comment Method of Moving Planes and Method of Moving Spheres We can find some results about symmetry in unbounded domains using the method of moving planes (H. Berestycki, L.A. Caffarelli and L. Nirenberg-Symmetry for elliptic equations in a half space). In this case, how could I decide which method to use? Jan27 comment Laplacian identity. Thank you very much for help me. Jan27 comment Laplacian identity. Elegant solution. Thank you very much! Jan27 accepted Laplacian identity. Jan27 comment Laplacian identity. We have a general product rule for the Laplacian: $$\Delta(f.g)=f\Delta g+2\nabla f.\nabla g+g\Delta f.$$ Jan27 revised Laplacian identity. added 22 characters in body Jan27 comment Laplacian identity. I read that this is a general identity! $f$ and $g$ would be $C^\infty$ functions. Jan27 asked Laplacian identity.