Linking solutions for quasilinear equations at critical growth involving the “1-Laplace” operator

2009 ◽  
Vol 36 (4) ◽  
pp. 591-609 ◽  
Author(s):  
Marco Degiovanni ◽  
Paola Magrone
Keyword(s):  
Laplace Operator ◽  
Critical Growth ◽  
Quasilinear Equations

Solutions for a class of singular quasilinear equations involving critical growth in R2

2022 ◽  
Author(s):  
Manassés X. de Souza ◽  
Uberlandio B. Severo ◽  
Gilberto F. Vieira
Keyword(s):  
Critical Growth ◽  
Quasilinear Equations

MULTIPLICITY RESULTS FOR A QUASILINEAR ELLIPTIC SYSTEM VIA MORSE THEORY

2005 ◽  
Vol 07 (02) ◽  
pp. 227-249 ◽  
Author(s):  
SILVIA CINGOLANI ◽  
MONICA LAZZO ◽  
GIUSEPPINA VANNELLA
Keyword(s):  
Banach Space ◽  
Elliptic System ◽  
Laplace Operator ◽  
Morse Theory ◽  
Quasilinear Elliptic System ◽  
Quasilinear Equations ◽  
Multiplicity Results ◽  
New Perturbation ◽  
Quasilinear Elliptic

In this work we prove some multiplicity results for solutions of a system of elliptic quasilinear equations, involving the p-Laplace operator (p > 2). The proof are based on variational and topological arguments and makes use of new perturbation results in Morse theory for the Banach space [Formula: see text].

scholarly journals Multiple Solutions for the p(x)− Laplace Operator with Critical Growth

2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Analia Silva
Keyword(s):  
Elliptic Equation ◽  
Laplace Operator ◽  
Multiple Solutions ◽  
Variable Exponent ◽  
Quasilinear Elliptic Equation ◽  
Critical Growth ◽  
Nontrivial Solutions ◽  
Multiplicity Of Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

AbstractThe aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We prove, in the spirit of [4], the existence of at least three nontrivial solutions to the quasilinear elliptic equation −Δ

scholarly journals Multiple solutions for the -Laplace operator with critical growth

2009 ◽  
Vol 71 (12) ◽  
pp. 6283-6289 ◽  
Author(s):  
Pablo L. De Nápoli ◽  
Julián Fernández Bonder ◽  
Analía Silva
Keyword(s):  
Laplace Operator ◽  
Multiple Solutions ◽  
Critical Growth ◽  
The Laplace Operator
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