In this paper, we study the existence of least-energy nodal (sign-changing) weak solutions for a class fractional Orlicz equations given by ( − △ g ) α u + = K x f , in R N where ⩾ 3 is g-Laplace operator, while ∈ C 1 and positive continuous function. Under suitable conditions on K, prove compact embeddings result weighted Orlicz–Sobolev spaces. Next, minimization argument Nehari manifold quant...

We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.

A necessary and sufficient condition for fractional Orlicz–Sobolev spaces to be continuously embedded into L∞(Rn) is exhibited. Under the same assumption, any function from relevant fractional-order shown continuous. Improvements of this result are also offered. They provide optimal Orlicz target space, rearrangement-invariant space in embedding question. These results complement those already ...

In this paper, we define some classes of double sequences over n-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.

The idea of difference sequences was first introduced by Kizmaz [4]. In this first paper we define some generalized difference sequence combining lacunary sequences and Orlicz function. We establish some relations between these sequence space.

In the present paper we introduced some multiplier sequence spaces defined by a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some topological properties and some inclusion relation between the resulting sequence spaces.

In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

We define and study λ2-convergence of double sequences of interval numbers defined by Orlicz function and λ2-statistical convergence of double sequences of interval numbers. We also establish some inclusion relations between them.

In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz function ℳ = (M(k)). We also examine some topological properties of the resulting sequence spaces.