V. N. Pavlenko, “The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth”, Vestnik Chelyabinsk. Gos. Univ., 2010, Issue 12,Pages <nobr>43

Differential equations

The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth

V. N. Pavlenko

Chelyabinsk State University

Abstract: We prove the existence of general solution of the resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth by topological method.

Keywords: resonance elliptic boundary value problem, discontinuous nonlinearity of linear growth, Leray-Schauder theorem.