Estimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient

We show that the entropy method can be used to prove exponential con- vergence towards equilibrium with explicit constants when one considers a reaction-diffusion system

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Math. Berestycki and P.-L. Lions, Une m´ ethode locale pour l’existence de solutions positives de probl` emes semilin´ eaires elliptiques dans R N , J. Berestycki and P.-L.

Lorsqu’un écrit scientifique issu d’une activité de recherche financée au moins pour moitié par des dotations de l’État, des collectivités territoriales ou des

Finally we give a nonexistence result that, in some sense, justifies the regularity conditions imposed on f to get the existence of nonnegative solution to problem (2.7)..

It is also very useful when we make a systematic analysis of the gradients of solutions of nonlinear elliptic and parabolic problems near the boundary of the irregular domain which

We prove a priori estimates and existence or non-existence of ground states for the same equation.. 2010 Mathematics

and V´ eron L, Estimates of solutions of elliptic equa- tions with a source reaction term involving the product of the function and its gradient, Duke Math.. and Yarur