scholarly journals On the numerical range of second-order elliptic operators with mixed boundary conditions in $$L^p$$

2020 ◽  
Author(s):  
Ralph Chill ◽  
Hannes Meinlschmidt ◽  
Joachim Rehberg
Keyword(s):  
Boundary Conditions ◽  
Numerical Range ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Elliptic Operators ◽  
Second Order ◽  
Second Order Elliptic Operators

scholarly journals The square root problem for second-order, divergence form operators with mixed boundary conditions on L p

2014 ◽  
Vol 15 (1) ◽  
pp. 165-208 ◽  
Author(s):  
Pascal Auscher ◽  
Nadine Badr ◽  
Robert Haller-Dintelmann ◽  
Joachim Rehberg
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Divergence Form ◽  
Second Order ◽  
Square Root

scholarly journals Multiple Solutions of Second-Order Damped Impulsive Differential Equations with Mixed Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jian Liu ◽  
Lizhao Yan
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Variational Methods ◽  
Multiple Solutions ◽  
Mixed Boundary ◽  
Impulsive Differential Equations ◽  
Mixed Boundary Conditions ◽  
Second Order ◽  
Multiplicity Of Solutions

We use variational methods to investigate the solutions of damped impulsive differential equations with mixed boundary conditions. The conditions for the multiplicity of solutions are established. The main results are also demonstrated with examples.

Existence of Solution for Second Order Impulsive Differential Equations with Mixed Boundary Conditions

2013 ◽  
Vol 411-414 ◽  
pp. 1396-1399
Author(s):  
Li Zhao Yan ◽  
Jian Liu
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Variational Methods ◽  
Mixed Boundary ◽  
Impulsive Differential Equations ◽  
Mixed Boundary Conditions ◽  
Existence Of Solution ◽  
Second Order

In this paper, we use variational methods to investigate the solutions of impulsive differential equations with mixed boundary conditions. The conditions for the existence of solution are established. The main results are also demonstrated with examples.

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