Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Unal, Cihan"'
Autor:
Unal Cihan
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 4916-4926 (2024)
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem. Moreover, we give some
Externí odkaz:
https://doaj.org/article/300a60251cbf494cbe2c9994b937c567
Autor:
Aydin, Ismail, Unal, Cihan
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( \omega _{1}(x)\left\vert \nabla u\right\vert^{p(x)-2}\nabla u\right) =\
Externí odkaz:
http://arxiv.org/abs/2012.06879
Autor:
Aydin, Ismail, Unal, Cihan
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 problem \begin{equation*} \left\{ \begin{array}{cc} -\text{div}\left( a(x)\
Externí odkaz:
http://arxiv.org/abs/2011.10847
Autor:
Aydin, Ismail, Unal, Cihan
This paper is concerned with a nonlinear Steklov boundary-value problem involving weighted $p(.)$-Laplacian. Using the Ricceri's variational principle, we obtain the existence of at least three weak solutions in double weighted variable exponent Sobo
Externí odkaz:
http://arxiv.org/abs/2005.10344
Autor:
Unal, Cihan, Aydin, Ismail
In this paper, we consider some inclusion theorems for grand Lorentz spaces $L^{p,q)}\left( X,\mu \right) $ and $\Lambda _{p),\omega }$ where $\mu $ is a finite measure on $\left( X,\Sigma \right) .$ Moreover, we consider the problem of the convergen
Externí odkaz:
http://arxiv.org/abs/1909.07743
Autor:
Unal, Cihan
We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1909.04636
Autor:
Unal, Cihan, Aydin, Ismail
Publikováno v:
MATH: Modelling&Application&Theory 3(1) (2018) 51-64
In this paper, we define $A_{\vartheta _{1},\vartheta _{2}}^{p,1,q,r}\left(G\right) $ to be space of all functions in $\left( L_{\vartheta_{1}}^{p},\ell ^{1}\right) $ whose Fourier transforms belong to $\left( L_{\vartheta _{2}}^{q},\ell ^{r}\right)
Externí odkaz:
http://arxiv.org/abs/1902.08393
Autor:
Unal, Cihan, Aydin, Ismail
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 and consider the relationship with finely open and finely closed sets. W
Externí odkaz:
http://arxiv.org/abs/1902.05305
Autor:
Unal, Cihan, Aydin, Ismail
In this study, we define double weighted variable exponent Sobolev spaces $W^{1,q(.),p(.)}\left( \Omega ,\vartheta _{0},\vartheta \right) $ with respect to two different weight functions. Also, we investigate the basic properties of this spaces. More
Externí odkaz:
http://arxiv.org/abs/1902.04822
Autor:
Aydin, Ismail, Unal, Cihan
We study totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces. Moreover, this paper includes several detailed generalized results of some compactness criterions in these spaces.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1902.04786