Abstract We study the existence of nontrivial solutions to the boundary value problem \(-u^{\prime \prime}+cu\prime+\lambda u\) \( =f(x,u),\ \ -\infty<x<+\infty\)…
AbstractExistence, localization and multiplicity results of positive solutions to a system of singular second-order differential equations are established by means…
Abstract In this work, existence and localization results for \(C_1\)-solutions to elliptic Dirichlet boundary value problems are established. The approach…
AbstractA general nonresonance theory of semilinear operator equations under regularity conditions is developed. Existence of weak solutions (in the energetic…
AbstractAn existence theory for systems of two non-linear operator equations in Hilbert spaces is presented under non-resonance conditions with respect…