On Neumann boundary control problem for ill-posed strongly nonlinear elliptic equation with p-Laplace operator and $$L^1$$L1-type of nonlinearity

2019 ◽  
Vol 68 (2) ◽  
pp. 769-802 ◽  
Author(s):  
Rosanna Manzo
Keyword(s):  
Elliptic Equation ◽  
Control Problem ◽  
Laplace Operator ◽  
Boundary Control ◽  
Nonlinear Elliptic Equation ◽  
Neumann Boundary ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic ◽  
Boundary Control Problem ◽  
Ill Posed

On Existence of L∞-Ground States for Singular Elliptic Equations in the Presence of a Strongly Nonlinear Term

2007 ◽  
Vol 7 (3) ◽  
Author(s):  
J.V. Goncalves ◽  
A.L. Melo ◽  
C.A. Santos
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equation ◽  
Nonlinear Term ◽  
Ground States ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic ◽  
Singular Elliptic Equations

AbstractWe establish new results concerning existence and the behavior at infinity of solutions for the singular nonlinear elliptic equation −Δu = ρa(x)u

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