arXiv subjects

Michał Bełdziński

Publications and source records attributed to Michał Bełdziński.

3 recordsLinked to original sources

arXiv2026

Multiplicity Results for the Nonlinear Weighted Laplacian Equation on the Sierpiński Gasket

In this paper we consider the Dirichlet boundary value problem driven by the weighted Laplacian equation and considered on the Sierpiński gasket. Under suitable growth conditions imposed on the nonlinear term, we provide existence and multiplicity results employing the direct method, mountain pass theorem and some related multiplicity result.

math.AP↗

arXiv2023

On a version of hybrid existence result for a system of nonlinear equations

Combining monotonicity theory related to the parametric version of the Browder-Minty Theorem with fixed point arguments we obtain hybrid existence results for a system of two operator equations. Applications are given to a system of boundary value problems with mixed nonlocal and Dirichlet conditions.

math.AP↗

arXiv2017

Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems

We investigate solvability of a continuous Dirichlet boundary value problem together with its classical discretization using a gobal diffeomorphism theorem.

math.CA↗