MATHEMATICA BOHEMICA, Vol. 128, No. 2, pp. 187-198 (2003)

Existence results for a class of semilinear degenerate elliptic equations

Salvatore Bonafede

Salvatore Bonafede, Dipartimento di Economia dei Sistemi Agro-Forestali, University of Palermo, Viale delle Scienze, 90128 Palermo, Italy, e-mail:

Abstract: We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.

Keywords: weak subsolution, degenerate equation, critical point, fixed-point theorems

Classification (MSC2000): 35A05, 35J70, 47H10

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