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>

scholarly journals On solvability of elliptic boundary value problems via global invertibility

2020 ◽  
Vol 40 (1) ◽  
pp. 37-47
Author(s):  
Michał Bełdziński ◽  
Marek Galewski
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Dirichlet Boundary ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Dirichlet Boundary Conditions ◽  
Elliptic Boundary Value ◽  
Global Invertibility

In this work we apply global invertibility result in order to examine the solvability of elliptic equations with both Neumann and Dirichlet boundary conditions.

scholarly journals Semilinear elliptic equations having asymptotic limits at zero and infinity

1999 ◽  
Vol 4 (4) ◽  
pp. 231-242 ◽  
Author(s):  
Kanishka Perera ◽  
Martin Schechter
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Nonlinear Term ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Semilinear Elliptic Equations ◽  
Nontrivial Solutions ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic

We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.

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