scholarly journals Existence result for a class of quasilinear elliptic equations with ($p$-$q$)-Laplacian and vanishing potentials

2015 ◽  
Vol 59 (3) ◽  
pp. 545-575 ◽  
Author(s):  
M. J. Alves ◽  
R. B. Assunção ◽  
O. H. Miyagaki
Keyword(s):  
Elliptic Equations ◽  
Existence Result ◽  
Quasilinear Elliptic Equations ◽  
Vanishing Potentials ◽  
Quasilinear Elliptic

Existence of a Least Energy Nodal Solution for a Class of p&q-Quasilinear Elliptic Equations

2014 ◽  
Vol 14 (2) ◽  
Author(s):  
Sara Barile ◽  
Giovany M. Figueiredo
Keyword(s):  
Bounded Domain ◽  
Elliptic Equations ◽  
Existence Result ◽  
Quasilinear Elliptic Equations ◽  
Nodal Solution ◽  
Smooth Bounded Domain ◽  
Quasilinear Elliptic ◽  
Least Energy

AbstractIn this paper we prove an existence result for a least energy nodal (or sign-changing) solution for the class of p&q problems given bywhere Ω is a smooth bounded domain in ℝ

scholarly journals A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

2016 ◽  
Vol 5 (2) ◽  
Author(s):  
Michele Colturato ◽  
Marco Degiovanni
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equation ◽  
Existence Result ◽  
Degree Theory ◽  
Quasilinear Elliptic Equations ◽  
Fredholm Alternative ◽  
Right Hand ◽  
Quasilinear Elliptic

AbstractWe consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory suited to this setting.

Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations

2008 ◽  
Vol 15 (4) ◽  
pp. 627-634
Author(s):  
Albo Carlos Cavalheiro
Keyword(s):  
Dirichlet Problem ◽  
Sobolev Spaces ◽  
Elliptic Equations ◽  
Existence Result ◽  
Existence Of Solutions ◽  
Weighted Sobolev Spaces ◽  
Quasilinear Elliptic Equations ◽  
Open Set ◽  
Quasilinear Elliptic

Abstract We prove an existence result for the Dirichlet problem associated to some degenerate quasilinear elliptic equations in a bounded open set Ω in in the setting of weighted Sobolev spaces .

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