The $ p $-Laplace equation is the main prototype for nonlinear elliptic problems and forms a
basis for various applications, such as injection moulding of plastics, nonlinear elasticity …

In this paper, we are concerned with the existence and uniqueness of a generalized solution
to a double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure …

We prove the existence and uniqueness of a solution to a double obstacle problem for
Musielak-Orlicz Dirichlet energy integral on metric measure spaces supporting a Φ-Poincaré …

In this paper we deal with a metric measure space equipped with a doubling measure and
supporting an Orlicz-Poincaré inequality, namely a weak (1, Φ)-Poincaré inequality, that is …

We introduce Musielak-Orlicz Newtonian space on a metric measure space. After discussing
properties of weak upper gradients of functions in such spaces and Poincaré inequalities for …

In the following,(X, d, µ) is a metric measure space, ie a metric space (X, d) endowed with a
Borel regular measure µ, that is finite and positive on balls. We use the definition given by …

We introduce a new type of first order Poincaré inequality for functions defined on a metric
measure space, that is an useful tool in the study of Newtonian spaces based on Banach …

”Vasile Alecsandri” University of Bacau Faculty of Sciences Scientific Studies and Research
Series Mathematics and Informa Page 1 ”Vasile Alecsandri” University of Bacau Faculty of …

We extend the basic part of the study of superminimizers for Dirichlet energy integrals on
metric spaces, initiated in a seminal paper by J. Kinnunen and O. Martio (2002) and …

In this note we characterize a weak Orlicz-Poincaré inequality through the Hölder continuity
of locally integrable functions possessing upper gradients in the corresponding Orlicz space …