Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems

2012 ◽  
Author(s):  
Elia Ziade
Keyword(s):  
Functional Analysis ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Convex Functional ◽  
Geometrical Analysis ◽  
Locally Convex

scholarly journals WEAK SOLUTIONS OF BOUNDARY VALUE PROBLEMS IN NONTUBE DOMAINS FOR FOURTH-ORDER EQUATIONS OF COMPOSITE TYPE

2011 ◽  
Vol 16 (3) ◽  
pp. 498-508
Author(s):  
Victor Korzyuk ◽  
Olga Kovnatskaya
Keyword(s):  
Functional Analysis ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Weak Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Composite Type ◽  
Fourth Order Equations

In the paper existence and uniqueness of weak solutions of boundary value problems in nontube domains for fourth-order equations of composite type are proved by methods of functional analysis.

15.—Differentiability on the Boundary of the Solutions of Linear Elliptic Boundary Value Problems

1975 ◽  
Vol 73 ◽  
pp. 235-249 ◽  
Author(s):  
Renate Schappel
Keyword(s):  
Functional Analysis ◽  
Boundary Value Problems ◽  
Sobolev Spaces ◽  
Weak Solutions ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value ◽  
Regularity Of Weak Solutions ◽  
Linear Elliptic Boundary

SynopsisThe present paper is concerned with the problem of regularity of weak solutions of boundary value problems. We shall present a new method to prove differentiability on the boundary. This method was developed in our thesis [12] within the theory of abstract Sobolev spaces, introduced by Stummel [14]. Here, we shall describe it by applying it to elliptic boundary value problems. It will be seen that the advantage of this method consists in the fact that it is based on functional analysis only and therefore may be used for other types of differential equations as well.

scholarly journals Nonlinear Functional Analysis of Boundary Value Problems 2013

2014 ◽  
Vol 2014 ◽  
pp. 1-3
Author(s):  
Yong Hong Wu ◽  
Lishan Liu ◽  
Benchawan Wiwatanapataphee ◽  
Shaoyong Lai
Keyword(s):  
Functional Analysis ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Nonlinear Functional Analysis ◽  
Nonlinear Functional
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