Work

Note on the Poincaré and Friedrichs Inequalities in Sobolev Spaces with Variable Exponents

Year: 2025

Type: article

Abstract: The aim of this article is to study a variant of the Poincaré inequality in Sobolev spaces $$W^{k,p(\cdot )}(\Omega ) $$ W k , p ( · ) ( Ω ) where $$\Omega $$ Ω is a given open set of $$\mathbb {R}^{n}$$ R n with finite Lebesgue measure and, consequently, the Friedrichs type inequality.

Source: Monatshefte für Mathematik

DOI: 10.1007/s00605-025-02133-7

Author: E. Viszus

Institution: Comenius University Bratislava

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Univerzita Komenského v Bratislave, Agentúra Ministerstva Školstva, Vedy, Výskumu a Športu SR