On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

1988 ◽  
Vol 41 (3) ◽  
pp. 253-294 ◽  
Author(s):  
A. Bahri ◽  
J. M. Coron
Keyword(s):  
Elliptic Equation ◽  
Nonlinear Elliptic Equation ◽  
Critical Sobolev Exponent ◽  
Nonlinear Elliptic ◽  
Sobolev Exponent

Multiplicity and Existence Results for a Nonlinear Elliptic Equation With Sobolev Exponent

2010 ◽  
Vol 10 (3) ◽  
Author(s):  
Zakaria Bouchech ◽  
Hichem Chtioui
Keyword(s):  
Elliptic Equation ◽  
Boundary Conditions ◽  
Nonlinear Elliptic Equation ◽  
Dirichlet Boundary ◽  
Existence Results ◽  
Dirichlet Boundary Conditions ◽  
Nonlinear Elliptic ◽  
Sobolev Exponent

AbstractIn this paper we consider the following nonlinear elliptic equation with Dirichlet boundary conditions: -Δu = K(x)u

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