SOLVABILITY OF ONE NEUMANN-TYPE PROBLEM FOR 3-HARMONIC EQUATION IN A BALL

Author(s):  
I.A. Gulyashikh ◽  
2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Mukund Madhav Mishra ◽  
Ashutosh Pandey

Author(s):  
Alexandru Kristály ◽  
Mihai Mihăilescu ◽  
Vicenţiu Rădulescu

In this paper we study a non-homogeneous Neumann-type problem which involves a nonlinearity satisfying a non-standard growth condition. By using a recent variational principle of Ricceri, we establish the existence of at least two non-trivial solutions in an appropriate Orlicz–Sobolev space.


2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Juan Wang ◽  
Jinlin Yang ◽  
Xinzhi Liu

We consider the existence, uniqueness, and asymptotic behavior of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge-Ampère type. We show that such solution exists for all times and is unique. It converges eventually to a solution that satisfies a Neumann type problem for nonlinear elliptic equation of Monge-Ampère type.


2017 ◽  
Vol 27 (2) ◽  
pp. 103-118 ◽  
Author(s):  
V. V. Karachik

Sign in / Sign up

Export Citation Format

Share Document