Abstract of “Asymptotic behavior of relaxed Dirichlet problems related to p-homogeneous strongly local forms” We study the asymptotic behavior of the solutions to a relaxed Dirichlet problem associated with p-homogeneous strongly local forms, $p>1$, having a local $L^1$ density and to measures $\zeta_n$, which do not charge sets of zero capacity. We prove that there exists a subsequence of $\zeta_n$ that $\gamma$-converges to a measure $\zeta$ of the same type, and we also prove the convergence of the relative solutions in $D^r [\Omega]$, $1<r<p$.

Asymptotic behavior of relaxed Dirichlet problems related to p-homogeneous strongly local forms / M. Biroli ; S. Marchi. - In: JOURNAL OF MATHEMATICAL SCIENCES: ADVANCES AND APPLICATIONS. - ISSN 0974-5750. - 5 (1)(2010), pp. 39-83.

### Asymptotic behavior of relaxed Dirichlet problems related to p-homogeneous strongly local forms

#### Abstract

Abstract of “Asymptotic behavior of relaxed Dirichlet problems related to p-homogeneous strongly local forms” We study the asymptotic behavior of the solutions to a relaxed Dirichlet problem associated with p-homogeneous strongly local forms, $p>1$, having a local $L^1$ density and to measures $\zeta_n$, which do not charge sets of zero capacity. We prove that there exists a subsequence of $\zeta_n$ that $\gamma$-converges to a measure $\zeta$ of the same type, and we also prove the convergence of the relative solutions in $D^r [\Omega]$, \$1
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Asymptotic behavior of relaxed Dirichlet problems related to p-homogeneous strongly local forms / M. Biroli ; S. Marchi. - In: JOURNAL OF MATHEMATICAL SCIENCES: ADVANCES AND APPLICATIONS. - ISSN 0974-5750. - 5 (1)(2010), pp. 39-83.
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[5] JMSAA 030309 Marco Biroli and Silvana Marchi [39-83].pdf

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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2312735