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Journal of Convex Analysis 11 (2004), No. 1, 147--162
Copyright Heldermann Verlag 2004

A Variational Approach to a Class of Singular Semilinear Elliptic Equations

Annamaria Canino
Dip. di Matematica, UniversitÓ della Calabria, 87036 Arcavacata di Rende, Italy, canino@unical.it

Marco Degiovanni
Dip. di Matematica e Fisica, UniversitÓ Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia, Italy, m.degiovanni@dmf.unicatt.it

[Abstract-pdf]

We provide a variational approach to singular semilinear elliptic equations of the form $-\Delta u=u^{-\beta}+g(x,u)$, for every $\beta > 0$.

Keywords: Singular semilinear elliptic equations, variational methods, convex functionals.

MSC 1991: 35J65, 49J40.

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