15 citations · 43 across the 10 of their papers we have counts for
10 papers
On some general multiplying solutions results of a Robin problem
Ismail Aydin, Cihan Unal
By applying Ricceri's variational principle, we demonstrate the existence of solutions for the following Robin problem \begin{equation*}\left\{ \begin{array}{cc}-\func{div}\left( ω…
Some new weighted compact embeddings results and existence of weak solutions for eigenvalue Robin problem
Ismail Aydin, Cihan Unal
By applying Mountain Pass Lemma, Ekeland's and Ricceri's variational principle, Fountain Theorem, we prove the existence and multiplicity of solutions for the following Robin probl…
Three solutions to a Steklov problem involving the weighted p(.)-Laplacian
Ismail Aydin, Cihan Unal
This paper is concerned with a nonlinear Steklov boundary-value problem involving weighted -Laplacian. Using the Ricceri's variational principle, we obtain the existence of a…
Inclusion theorems for grand Lorentz spaces
Cihan Unal, Ismail Aydin
In this paper, we consider some inclusion theorems for grand Lorentz spaces and where is a finite measure on Moreo…
Some Properties of Thinness and Fine Topology with Relative Capacity
Cihan Unal, Ismail Aydin
In this paper, we introduce a thinness in sense to a type of relative capacity for weighted variable exponent Sobolev space. Moreover, we reveal some properties of this thinness an…
Existence of Weak Solutions for -Laplacian Equation via Compact Embeddings of the Double Weighted Variable Exponent Sobolev Spaces
Cihan Unal, Ismail Aydin
In this study, we define double weighted variable exponent Sobolev spaces with respect to two different weight functions…
The Kolmogorov-Riesz Theorem and Some Compactness Criterions of Bounded Subsets in Weighted Variable Exponent Amalgam and Sobolev Spaces
Ismail Aydin, Cihan Unal
We study totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces. Moreover, this paper includes several detailed generalized results of some compactness cr…
The Banach Algebra of Functions With Fourier Transforms in Weighted Amalgam Spaces
Cihan Unal, Ismail Aydin
In this paper, we define to be space of all functions in whose Fourier…
Weighted Stochastic Field Exponent Sobolev Spaces and Nonlinear Degenerated Elliptic Problem
Ismail Aydin, Cihan Unal
In this study, we consider weighted stochastic field exponent function spaces and $W_{\vartheta }^{k,p(.,.)}\left( D\times Ω\right…
On some properties of relative capacity and thinness in weighted variable exponent Sobolev spaces
Cihan Unal, Ismail Aydin
In this paper, we define weighted relative -capacity and discuss properties of capacity in the space Also, we investigate some prop…