On the existence of classical solutions of exterior semilinear elliptic boundary value problems with application to plane fluid flows

1980 ◽  
Vol 4 (4) ◽  
pp. 791-804
Author(s):  
Rodica Chirila-Socolescu
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Fluid Flows ◽  
Elliptic Boundary Value Problems ◽  
Classical Solutions ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic

Varying Stoichiometric Exponents I: Classical Steady-States and Metasolutions

2003 ◽  
Vol 3 (3) ◽  
Author(s):  
Julián López-Gómez
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Steady States ◽  
Elliptic Boundary Value Problems ◽  
Classical Solutions ◽  
Stoichiometric Coefficient ◽  
Elliptic Boundary Value ◽  
Large Solutions ◽  
Semilinear Elliptic

AbstractThis paper characterizes the existence of classical solutions for a class of semilinear elliptic boundary value problems of logistic type whose stoichiometric coefficient is allowed to vary within the region where the reaction takes place. Most of the effort will be focused on the problem of the existence of metasolutions; large solutions extended by infinity that are the main candidates for describing the dynamics of the model in the absence of classical steady-states.

Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist

2001 ◽  
Vol 131 (3) ◽  
pp. 721-732 ◽  
Author(s):  
Shujie Li ◽  
Kanishka Perera ◽  
Jiabao Su
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Term ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Elliptic Boundary Value Problems ◽  
Critical Groups ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic

We compute critical groups in semilinear elliptic boundary-value problems in which the nonlinear term may fail to have asymptotic limits at zero and at infinity. As applications, we prove several new existence results.

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