Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations

Details Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations

2008-05-16

arxiv.org/abs/0805.2533v1

Advanced Nolinear Studies 6 (2006) 351-378

Mathematics

Analysis of PDEs

Scientific paper

If $h$ is a nondecreasing real valued function and $0\leq q\leq 2$, we analyse the boundary behaviour of the gradient of any solution $u$ of $-\Delta u+h(u)+\abs {\nabla u}^q=f$ in a smooth N-dimensional domain $\Omega$ with the condition that $u$ tends to infinity when $x$ tends to $\partial\Omega$. We give precise expressions of the blow-up which, in particular, point out the fact that the phenomenon occurs essentially in the normal direction to $\partial\Omega$. Motivated by the blow--up argument in our proof, we also give in Appendix a symmetry result for some related problems in the half space.

Affiliated with

Also associated with

No associations

Rating

Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273082