On étudie l’existence de solution du problème de Dirichlet pour un opérateur elliptique linéaire du second ordre dont les coefficients des dérivées du premier ordre deviennent infinis sur une partie de la frontière. On utilise les estimations de Schauder et des barrières convenablement construites.
We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.
@article{AIF_1976__26_1_205_0, author = {C\'ac, Nguyen Phuong}, title = {The {Dirichlet} problem for a singular elliptic equation}, journal = {Annales de l'Institut Fourier}, pages = {205--224}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {26}, number = {1}, year = {1976}, doi = {10.5802/aif.604}, zbl = {0312.35028}, mrnumber = {53 #6088}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.604/} }
TY - JOUR AU - Các, Nguyen Phuong TI - The Dirichlet problem for a singular elliptic equation JO - Annales de l'Institut Fourier PY - 1976 SP - 205 EP - 224 VL - 26 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.604/ DO - 10.5802/aif.604 LA - en ID - AIF_1976__26_1_205_0 ER -
%0 Journal Article %A Các, Nguyen Phuong %T The Dirichlet problem for a singular elliptic equation %J Annales de l'Institut Fourier %D 1976 %P 205-224 %V 26 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.604/ %R 10.5802/aif.604 %G en %F AIF_1976__26_1_205_0
Các, Nguyen Phuong. The Dirichlet problem for a singular elliptic equation. Annales de l'Institut Fourier, Tome 26 (1976) no. 1, pp. 205-224. doi : 10.5802/aif.604. https://aif.centre-mersenne.org/articles/10.5802/aif.604/
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