Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
Abstract The authors consider the impulsive differential equation with Monge-Ampère operator in the form of { ( ( u ′ ( t ) ) n ) ′ = λ n t n − 1 f ( − u ( t ) ) , t ∈ ( 0 , 1 ) , t ≠ t k , k = 1 , 2 , … , m , Δ ( u ′ ) n | t = t k = λ I k ( − u ( t k ) ) , k = 1 , 2 , … , m , u ′ ( 0 ) = 0 , u ( 1...
Main Authors: | Xuemei Zhang, Meiqiang Feng |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2017-11-01
|
Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-017-0904-8 |
Similar Items
-
The Monge-Ampere equation /
by: Gutierrez, Cristian E., 1950-
Published: (2001) -
A Monge–Ampere Equation with an Unusual Boundary Condition
by: Marc Sedjro
Published: (2015-11-01) -
A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation
by: Yu Yuan
Published: (2023-06-01) -
Convex radial solutions for Monge-Ampère equations involving the gradient
by: Zhilin Yang
Published: (2023-11-01) -
Discrete Aleksandrov solutions of the Monge-Ampere equation
by: Gerard Awanou
Published: (2022-08-01)