We establish the existence of a solution in a certain sense to a strongly degenerate problem consisting in a coupled nonlinear parabolic-elliptic system. The diffusion term in the parabolic equation is of the form , where a is an operator of the Leray–Lions type. Moreover, the second equation is nonuniformly elliptic.
On montre l'existence d'une solution dans un certain sens d'un problème fortement dégénéré constitué par un système non-linéaire de deux équations aux dérivées partielles couplées du type parabolique-elliptique, le terme de diffusion de l'équation parabolique étant de la forme , où a est un opérateur du type de Leray–Lions. En outre, la seconde équation de ce système est non-uniformement elliptique.
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@article{CRMATH_2006__343_2_119_0, author = {Gonz\'alez Montesinos, Mar{\'\i}a Teresa and Orteg\'on Gallego, Francisco}, title = {On the existence of solutions for a strongly degenerate system}, journal = {Comptes Rendus. Math\'ematique}, pages = {119--123}, publisher = {Elsevier}, volume = {343}, number = {2}, year = {2006}, doi = {10.1016/j.crma.2006.06.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.06.002/} }
TY - JOUR AU - González Montesinos, María Teresa AU - Ortegón Gallego, Francisco TI - On the existence of solutions for a strongly degenerate system JO - Comptes Rendus. Mathématique PY - 2006 SP - 119 EP - 123 VL - 343 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.06.002/ DO - 10.1016/j.crma.2006.06.002 LA - en ID - CRMATH_2006__343_2_119_0 ER -
%0 Journal Article %A González Montesinos, María Teresa %A Ortegón Gallego, Francisco %T On the existence of solutions for a strongly degenerate system %J Comptes Rendus. Mathématique %D 2006 %P 119-123 %V 343 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.06.002/ %R 10.1016/j.crma.2006.06.002 %G en %F CRMATH_2006__343_2_119_0
González Montesinos, María Teresa; Ortegón Gallego, Francisco. On the existence of solutions for a strongly degenerate system. Comptes Rendus. Mathématique, Volume 343 (2006) no. 2, pp. 119-123. doi : 10.1016/j.crma.2006.06.002. http://archive.numdam.org/articles/10.1016/j.crma.2006.06.002/
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