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 …

This thesis is devoted to the topic which I investigated more in my years of PhD: the theory of
Sobolev and BV Spaces in Metric Measure Spaces. The first attempts to define spaces of …

Properties of first-order Sobolev-type spaces on abstract metric measure spaces, so-called
Newtonian spaces, based on quasi-Banach function lattices are investigated. The set of all …

We prove a Poincaré inequality for Orlicz–Sobolev functions with zero boundary values in
bounded open subsets of a metric measure space. This result generalizes the (p, p) …

In this paper we extend some results regarding the properties of weak upper gradients, from
the cases when B is an Orlicz space or a Lorentz space to the general case of a Banach …