Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in R N

2014 ◽  
Vol 82 (2) ◽  
pp. 213-231 ◽  
Author(s):  
Waldemar D. Bastos ◽  
Olimpio H. Miyagaki ◽  
Rônei S. Vieira
Keyword(s):  
Positive Solution ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

scholarly journals EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS

2008 ◽  
Vol 78 (1) ◽  
pp. 157-162 ◽  
Author(s):  
OCTAVIAN G. MUSTAFA
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Elliptic Equations ◽  
Exterior Domain ◽  
Quasilinear Elliptic Equations ◽  
Image Position ◽  
Quasilinear Elliptic

AbstractWe establish that the elliptic equation defined in an exterior domain of ℝn, n≥3, has a positive solution which decays to 0 as $\vert x\vert \rightarrow +\infty $ under quite general assumptions upon f and g.

scholarly journals Existence of positive solutions of quasilinear elliptic equations

1996 ◽  
Vol 54 (1) ◽  
pp. 147-154 ◽  
Author(s):  
Adrian Constantin
Keyword(s):  
Positive Solution ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Exterior Domains ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic

We prove under quite general assumptions the existence of a positive solution to the equation Δu + f(x, u) + g(x)x.∇u = 0 in exterior domains of Rn (n ≥ 3).

scholarly journals On quasilinear elliptic equations inℝN

1996 ◽  
Vol 1 (4) ◽  
pp. 407-415
Author(s):  
C. O. Alves ◽  
J. V. Concalves ◽  
L. A. Maia
Keyword(s):  
Positive Solution ◽  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Quasilinear Elliptic Equations ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient ◽  
Quasilinear Elliptic

In this note we give a result for the operatorp-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation−Δu=h(x)uqinℝN, where0<q<1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the existence of solutions.

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