@article{AIHPC_2005__22_3_303_0, author = {D\'avila, Juan and Montenegro, Marcelo}, title = {Nonlinear problems with solutions exhibiting a free boundary on the boundary}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {303--330}, publisher = {Elsevier}, volume = {22}, number = {3}, year = {2005}, doi = {10.1016/j.anihpc.2004.07.006}, mrnumber = {2136246}, zbl = {1083.35139}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2004.07.006/} }
TY - JOUR AU - Dávila, Juan AU - Montenegro, Marcelo TI - Nonlinear problems with solutions exhibiting a free boundary on the boundary JO - Annales de l'I.H.P. Analyse non linéaire PY - 2005 SP - 303 EP - 330 VL - 22 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2004.07.006/ DO - 10.1016/j.anihpc.2004.07.006 LA - en ID - AIHPC_2005__22_3_303_0 ER -
%0 Journal Article %A Dávila, Juan %A Montenegro, Marcelo %T Nonlinear problems with solutions exhibiting a free boundary on the boundary %J Annales de l'I.H.P. Analyse non linéaire %D 2005 %P 303-330 %V 22 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2004.07.006/ %R 10.1016/j.anihpc.2004.07.006 %G en %F AIHPC_2005__22_3_303_0
Dávila, Juan; Montenegro, Marcelo. Nonlinear problems with solutions exhibiting a free boundary on the boundary. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 3, pp. 303-330. doi : 10.1016/j.anihpc.2004.07.006. http://www.numdam.org/articles/10.1016/j.anihpc.2004.07.006/
[1] Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976) 620-709. | MR | Zbl
,[2] Blow-up solutions of some nonlinear elliptic problems, Rev. Mat. Univ. Complut. Madrid 10 (1997) 443-469. | MR | Zbl
, ,[3] Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling, Quart. Appl. Math. 60 (2002) 675-694. | MR | Zbl
, ,[4] Positive versus free boundary solutions to a singular equation, J. Anal. Math. 90 (2003) 303-335. | MR | Zbl
, ,[5] Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition, Nonlinear Anal. 48 (2002) 995-1002. | MR | Zbl
, ,[6] Quenching on the boundary, Nonlinear Anal. 21 (1993) 795-802. | MR | Zbl
, ,[7] Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss., vol. 224, Springer-Verlag, Berlin, 1983. | MR | Zbl
, ,[8] Quenching of solutions of parabolic equations with nonlinear boundary conditions in several dimensions, J. Reine Angew. Math. 345 (1983) 23-38. | MR | Zbl
, ,[9] Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. 12 (1988) 1203-1219. | MR | Zbl
,[10] Problemi ai limiti non omogenei. V, Ann. Scuola Norm Sup. Pisa 16 (1962) 1-44. | EuDML | Numdam | MR | Zbl
, ,[11] K. Medville, M. Vogelius, Blow up behaviour of planar harmonic functions satisfying a certain exponential Neumann boundary condition, preprint. | MR | Zbl
[12] A minimization problem and the regularity of solutions in the presence of a free boundary, Indiana Univ. Math. J. 32 (1983) 1-17. | MR | Zbl
,[13] An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data, Z. Angew. Math. Phys. 49 (1998) 656-679. | MR | Zbl
, , ,[14] A nonlinear elliptic boundary value problem related to corrosion modeling, Quart. Appl. Math. 56 (1998) 479-505. | MR | Zbl
, ,Cité par Sources :