Existence theorem for a minimum problem with free discontinuity set

1989 ◽  
Vol 108 (4) ◽  
pp. 195-218 ◽  
Author(s):  
E. De Giorgi ◽  
M. Carriero ◽  
A. Leaci
Keyword(s):  
Existence Theorem ◽  
Minimum Problem

A variational problem on subsets of ℝn

1997 ◽  
Vol 127 (5) ◽  
pp. 1089-1101 ◽  
Author(s):  
Mihai Vornicescu
Keyword(s):  
Variational Problem ◽  
Existence Theorem ◽  
Calculus Of Variations ◽  
Minimum Problem

SynopsisWe give an existence theorem for a nonconvex minimum problem of the Calculus of Variations.

Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Shengli Xie
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Existence Results ◽  
Order Case

AbstractIn this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

Triharmonic Riemannian submersions from 3-dimensional space forms

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tomoya Miura ◽  
Shun Maeta
Keyword(s):  
Existence Theorem ◽  
Space Form ◽  
Dimensional Space ◽  
Riemannian Submersion ◽  
Partial Answer ◽  
Riemannian Submersions ◽  
Space Forms ◽  
3 Dimensional

Abstract We show that any triharmonic Riemannian submersion from a 3-dimensional space form into a surface is harmonic. This is an affirmative partial answer to the submersion version of the generalized Chen conjecture. Moreover, a non-existence theorem for f -biharmonic Riemannian submersions is also presented.

Sign in / Sign up

Export Citation Format

Share Document