Nonresonance theory for semilinear operator equations under regularity conditions
AbstractA general nonresonance theory of semilinear operator equations under regularity conditions is developed. Existence of weak solutions (in the energetic…
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Radial solutions for some classes of elliptic boundary value problems
Abstract The aim of this paper is to present some existence and localization results of radial solutions for elliptic equations…
Nonresonance and existence for systems of nonlinear operator equations
AbstractAn existence theory for systems of two non-linear operator equations in Hilbert spaces is presented under non-resonance conditions with respect…
Existence results for systems of nonlinear evolution equations
AbstractExistence results for semilinear systems of abstract evolution equations are established by means of Perov, Schauder and Leray-Schauder Fixed Point…
Positive solutions for elliptic boundary value problems with a Harnack-like property
Abstract The aim of this paper is to present some existence results of positive solutions for elliptic equations and systems…
A compression type mountain pass theorem in conical shells
AbstractIn this paper we present a compression type version of the mountain pass lemma in a conical shell with respect…
Domain invariance theorems for contractive type maps
AbstractNew domain invariance theorems are presented for nonlinear contractions on spaces with two metrics. AuthorsBavi P. Agarwal Department of Mathematical…
Nonuniform nonresonance for nonlinear boundary value problems with y′ dependence
Abstract A new nonuniform nonresonant result at the first eigenvalue is presented for the boundary value problem \(\ y^{\prime \prime}+q\…
Homotopy method for positive solutions of p-Laplace inclusions
AbstractIn this paper the compression-expansion fixed point theorems are extended to operators which are compositions of two multi-valued nonlinear maps…
Semilinear evolution equations with nonlocal initial conditions
AbstractWe are concerned with the study of semilinear evolution equations with nonlocal initial conditions. We provide sufficient conditions on the…