scholarly journals Positive solutions of an asymptotically planar system of elliptic boundary value problems

1998 ◽  
Vol 21 (3) ◽  
pp. 549-554 ◽  
Author(s):  
F. J. S. A. Corrêa
Keyword(s):  
Maximum Principle ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Bifurcation Theory ◽  
Existence Result ◽  
Elliptic Boundary ◽  
Elliptic Boundary Value Problems ◽  
Planar System ◽  
Elliptic Boundary Value

We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations. It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.

scholarly journals Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Guangcun Lu
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Bifurcation Theory ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Higher Order ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value ◽  
Potential Operators ◽  
Linear Elliptic Boundary

<p style='text-indent:20px;'>This is the second part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using abstract theorems in the first part we obtain many new bifurcation results for quasi-linear elliptic boundary value problems of higher order.</p>

On some nonlinear elliptic equations involving derivatives of the nonlinearity

1985 ◽  
Vol 100 (3-4) ◽  
pp. 281-294 ◽  
Author(s):  
J. Carrillo ◽  
M. Chipot
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Existence And Uniqueness ◽  
Elliptic Boundary ◽  
Nonlinear Elliptic Equations ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value ◽  
Nonlinear Elliptic ◽  
Image Position ◽  
Derivatives Of

SynopsisWe give some results on existence and uniqueness for the solution of elliptic boundary value problems of typewhen the βi are not necessarily smooth.

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