Santiago Cano-Casanova & Julian Lopez-Gomez
Abstract:
In this paper we use the linear theory developed in [8]
and [9] to show the continuous dependence of the positive
solutions of a general class of sublinear elliptic boundary value
problems of mixed type with respect to the underlying domain. Our
main theorem completes the results of Daners and Dancer [12]
-and the references there in-, where the classical Robin
problem was dealt with. Besides the fact that we are working
with mixed non-classical boundary conditions, it must
be mentioned that this paper is considering problems where
bifurcation from infinity occurs; now a days, analyzing these
general problems, where the coefficients are allowed to vary and
eventually vanishing or changing sign, is focusing a great deal
of attention -as they give rise to metasolutions (e.g., [20])-.
Submitted April 20, 2004. Published May 21, 2004.
Math Subject Classifications: 35J25, 35J65, 58J37, 35B50, 35P30.
Key Words: Continuous dependence, positive solution,
sublineal elliptic problems, varying domains,
maximum principle, principal eigenvalue.
Show me the PDF file (478K), TEX file, and other files for this article.
 |
Santiago Cano-Casanova Departamento de Matematica Aplicada y Computacion Universidad Pontificia Comillas de Madrid 28015-Madrid, Spain email: scano@dmc.icai.upco.es |
|---|---|
 |
Julian Lopez-Gomez Departamento de Matematica Aplicada Universidad Complutense de Madrid 28040-Madrid, Spain email: Lopez_Gomez@mat.ucm.es |
Return to the EJDE web page