%0 Journal Article
%T Varying domains in a general class of sublinear elliptic problems
%A Santiago Cano-Casanova
%A Julian Lopez-Gomez
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X 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])-.
%K Continuous dependence
%K positive solution
%K sublineal elliptic problems
%K varying domains
%U http://ejde.math.txstate.edu/Volumes/2004/74/abstr.html