Mohamed AKEL, Mona ALDAWSARI

6690

Neumann boundary value problems in fan-shaped domains

n this article we give the solvability conditions and the integral representations of the solutions of the Neumann boundary value problem for the Cauchy-Riemann operator and the Beltrami operator with constant coefficient in a disc sector with angle $\vartheta=\frac{\pi}{n},\,n\in\mathbb N$. Moreover, the Neumann problem for second-order operators with the Bitsadze/Laplace operator as the main part is studied. Classical results of complex analysis are used to obtain the expressions of the solvability conditions and the integral representations for the solutions explicitly.
Keywords:

Cauchy-Riemann equation, Beltrami equation, Bitsadze/Poisson equation Neumann problem, Neumann series method,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Zafer ŞİAR, Refik KESKİN

Combinatorial enumeration of cyclic covers of $\mathbb{P}^{1}$

Alberto BESANA, Cristina Martinez RAMIREZ

Ali Reza Moniri HAMZEKOLAEE, Abdullah HARMANCI, Yahya TALEBI, Burcu ÜNGÖR

On the numerical range of square matrices with coefficients in a degree 2 Galois field extension

Edoardo BALLICO

A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem

Yessine DAMMAK

On the J -reflexive operators

Parviz SADAT HOSSEINI, Bahmann YOUSEFI

Miroslav DOUPOVEC, Jan KUREK, Wlodzimierz MIKULSKI

Rukiye ÖZTÜRK MERT, Bülent YILMAZ, Zameddin I. İSMAİLOV

Yeşim SAĞLAM ÖZKAN, Sezayi HIZLIYEL

Murat ALAN