Geodesic
Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems
Electronic Journal of Differential Equations, Tome 1997 (1997).

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

Summary: A general free boundary problem in $R^{3}$ is investigated for axial-symmetric solutions and qualitative geometric properties of the free boundary are compared to those of the fixed boundary for the axial and radial directions. Counterexamples obtained previously by the first author show that our results cannot hold in the same generality as those for similar free boundary problems in $R^{2}$.
Classification : 34B15, 35J15, 35J85
Keywords: p-Laplacian, radial solutions, boundary value problems 
@article{EJDE_1997__1997__a12,
     author = {Acker, Andrew F. and Lancaster, Kirk E.},
     title = {Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1997},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a12/}
}
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Acker, Andrew F.; Lancaster, Kirk E. Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems. Electronic Journal of Differential Equations, Tome 1997 (1997). http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a12/