Cano-Casanova, SantiagoLopez-Gomez, Julian2021-04-232021-04-232004-05-21Cano-Casanova, S., & Lopez-Gomez, J. (2004). Varying domains in a general class of sublinear elliptic problems. <i>Electronic Journal of Differential Equations, 2004</i>(74), pp. 1-41.1072-6691https://hdl.handle.net/10877/13427In 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])-.Text41 pages1 file (.pdf)enAttribution 4.0 InternationalContinuous dependencePositive solutionsSublineal elliptic problemsVarying domainsMaximum principlePrincipal eigenvalueArticle