scholarly journals Three critical points theorem and its application to quasilinear elliptic equations

2011 ◽  
Vol 375 (2) ◽  
pp. 566-578 ◽  
Author(s):  
Zhouxin Li ◽  
Yaotian Shen
Keyword(s):  
Critical Points ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Three Critical Points Theorem ◽  
Quasilinear Elliptic

Critical Group Estimates for Nonregular Critical Points of Functionals Associated With Quasilinear Elliptic Equations

2015 ◽  
Vol 1 (1) ◽  
pp. 75-87 ◽  
Author(s):  
Silvia Cingolani ◽  
Marco Degiovanni ◽  
Giuseppina Vannella
Keyword(s):  
Critical Points ◽  
Elliptic Equations ◽  
Critical Group ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

A note on the boundary regularity of solutions to quasilinear elliptic equations

2018 ◽  
Vol 24 (2) ◽  
pp. 849-858 ◽  
Author(s):  
Giuseppe Riey ◽  
Berardino Sciunzi
Keyword(s):  
Laplace Operator ◽  
Critical Points ◽  
Elliptic Equations ◽  
Dirichlet Boundary ◽  
Boundary Regularity ◽  
Regularity Of Solutions ◽  
Quasilinear Elliptic Equations ◽  
Second Derivatives ◽  
Quasilinear Elliptic ◽  
Derivatives Of

We study the summability up to the boundary of the second derivatives of solutions to a class of Dirichlet boundary value problems involving the p-Laplace operator. Our results are meaningful for the cases when the Hopf’s Lemma cannot be applied to ensure that there are no critical points of the solution on the boundary of the domain.

Eigenvalue problems for quasilinear elliptic equations on RN

1989 ◽  
Vol 14 (8-9) ◽  
pp. 1291-1314 ◽  
Author(s):  
Li Gongbao ◽  
Yan Shusen
Keyword(s):  
Elliptic Equations ◽  
Eigenvalue Problems ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

scholarly journals Quasilinear elliptic equations with subquadratic growth

2006 ◽  
Vol 229 (1) ◽  
pp. 367-388 ◽  
Author(s):  
Lucio Boccardo ◽  
Maria Michaela Porzio
Keyword(s):  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic
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