The asymptotic behavior of a sequence of nonlinear Dirichlet problems on varying domains for weighted p-Laplacian-type operators was analyzed. The properties of Green's functions and Kato measures relative to a Dirichlet form were used for the analysis. It was found that solution of the equation with a diffused measure in the right-hand side was continuous and finite only if it was a Kato measure.
Limits of nonlinear weighted Dirichlet problems in varying domains / DE CICCO, Virginia. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 48:2(2002), pp. 247-270. [10.1016/s0362-546x(00)00185-1]
Limits of nonlinear weighted Dirichlet problems in varying domains
DE CICCO, Virginia
2002
Abstract
The asymptotic behavior of a sequence of nonlinear Dirichlet problems on varying domains for weighted p-Laplacian-type operators was analyzed. The properties of Green's functions and Kato measures relative to a Dirichlet form were used for the analysis. It was found that solution of the equation with a diffused measure in the right-hand side was continuous and finite only if it was a Kato measure.File allegati a questo prodotto
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