Geodesic
Estimates for solutions to nonlinear boundary-value problems in conic domains
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We obtain sharp estimates on the solution and its derivative near the conic points. In particular, we show that the solution satisfies $|u(x)|\leq C|x|^\lambda$ where lambda is an eigenvalue of the Sturm-Liouville problem. Also we prove that the solution has square summable weighted second generalized derivatives.
Classification : 35J20, 35D10
Keywords: nonlinear equation, behavior of solutions, nonsmooth domain 
@article{EJDE_2005__2005__a53,
     author = {Gadjiev, Tahir S. and Aliev, Sardar Y.},
     title = {Estimates for solutions to nonlinear boundary-value problems in conic domains},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a53/}
}
TY  - JOUR
AU  - Gadjiev, Tahir S.
AU  - Aliev, Sardar Y.
TI  - Estimates for solutions to nonlinear boundary-value problems in conic domains
JO  - Electronic Journal of Differential Equations
PY  - 2005
VL  - 2005
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a53/
LA  - en
ID  - EJDE_2005__2005__a53
ER  - 
%0 Journal Article
%A Gadjiev, Tahir S.
%A Aliev, Sardar Y.
%T Estimates for solutions to nonlinear boundary-value problems in conic domains
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a53/
%G en
%F EJDE_2005__2005__a53
Gadjiev, Tahir S.; Aliev, Sardar Y. Estimates for solutions to nonlinear boundary-value problems in conic domains. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a53/