scholarly journals A remark on the existence of positive radial solutions to a Hessian system

2021 ◽  
Vol 6 (12) ◽  
pp. 14035-14043
Author(s):  
Dragos-Patru Covei ◽  
Keyword(s):  
Successive Approximation ◽  
Radial Solutions ◽  
Future Directions ◽  
Positive Radial Solutions ◽  
Hessian Operator

<abstract><p>We give new conditions for the study of existence of positive radial solutions for a system involving the Hessian operator. The solutions to be obtained are given by successive-approximation. Our interest is to improve the works that deal with such systems at the present and to give future directions of research related to this work for researchers.</p></abstract>

scholarly journals A remark on the existence of positive radial solutions to a Hessian system

2021 ◽  
Vol 7 (1) ◽  
pp. 54-62
Author(s):  
Dragos-Patru Covei ◽  
Keyword(s):  
Successive Approximation ◽  
Radial Solutions ◽  
Future Directions ◽  
Positive Radial Solutions ◽  
Hessian Operator

<abstract><p>We give new conditions for the study of existence of positive radial solutions for a system involving the Hessian operator. The solutions to be obtained are given by successive-approximation. Our interest is to improve the works that deal with such systems at the present and to give future directions of research related to this work for researchers.</p></abstract>

scholarly journals Weighted fourth order elliptic problems in the unit ball

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zongming Guo ◽  
Fangshu Wan
Keyword(s):  
Asymptotic Behavior ◽  
Singular Point ◽  
Unit Ball ◽  
Fourth Order ◽  
Existence And Uniqueness ◽  
Weighted Sobolev Spaces ◽  
Radial Solutions ◽  
Dirichlet Problems ◽  
Uniqueness Results ◽  
Positive Radial Solutions

<p style='text-indent:20px;'>Existence and uniqueness of positive radial solutions of some weighted fourth order elliptic Navier and Dirichlet problems in the unit ball <inline-formula><tex-math id="M1">\begin{document}$ B $\end{document}</tex-math></inline-formula> are studied. The weights can be singular at <inline-formula><tex-math id="M2">\begin{document}$ x = 0 \in B $\end{document}</tex-math></inline-formula>. Existence of positive radial solutions of the problems is obtained via variational methods in the weighted Sobolev spaces. To obtain the uniqueness results, we need to know exactly the asymptotic behavior of the solutions at the singular point <inline-formula><tex-math id="M3">\begin{document}$ x = 0 $\end{document}</tex-math></inline-formula>.</p>

Positive radial solutions for p-Laplacian systems

2008 ◽  
Vol 75 (1-2) ◽  
pp. 43-50 ◽  
Author(s):  
Donal O’Regan ◽  
Haiyan Wang
Keyword(s):  
Radial Solutions ◽  
Positive Radial Solutions
Sign in / Sign up

Export Citation Format

Share Document