Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

Annamaria Canino

Dip. di Matematica, Università della Calabria, 87036 Arcavacata di Rende, Italy

canino@unical.it

Marco Degiovanni

Dip. di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41,
25121 Brescia, Italy

m.degiovanni@dmf.unicatt.it

Keywords

  • Singular semilinear elliptic equations
  • variational methods
  • convex functionals

Mathematics Subject Classification

35J65, 49J40

Suggested citation

A. Canino, M. Degiovanni. “A Variational Approach to a Class of Singular Semilinear Elliptic Equations.” Journal of Convex Analysis 11 (2004), No. 1, 147–162. https://doi.org/10.68381/jca11010

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Published by Heldermann Verlag, 2004. Rights now held by Banach Press.