Avariational approach to semilinear elliptic equations withmeasure data

Marco Degiovanni; Michele Scaglia

doi:10.3934/dcds.2011.31.1233

Article Contents

2011, Volume 31, Issue 4: 1233-1248. Doi: 10.3934/dcds.2011.31.1233

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A variational approach to semilinear elliptic equations with measure data

Marco Degiovanni^1, and
Michele Scaglia^2,

1.
Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41 - 25121 Brescia
2.
Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53 - 20125 Milano

Received: September 30, 2010

Revised: November 30, 2010

Published: September 2011

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Abstract

We describe a direct variational approach to a class of semilinear elliptic equations with measure data. Using a typical variational argument, we show the existence of multiple solutions.

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Mathematics Subject Classification: Primary: 49J40; Secondary: 35J20.

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References

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