TY - JOUR
T1 - Linking solutions for quasilinear equations at critical growth involving the "1-Laplace" operator
AU - Degiovanni, Marco
AU - Magrone, Paola
PY - 2009
Y1 - 2009
N2 - We show that the problem at critical growth, involving the 1-Laplace operator and obtained by relaxation of
-\Delta_1 u=\lambda |u|^{-1}u + |u|^{1^*-2} u,
admits a nontrivial solution u in BV(\Omega) for any \lambda\geq\lambda_1.
Nonstandard linking structures, for the associated functional, are recognized.
AB - We show that the problem at critical growth, involving the 1-Laplace operator and obtained by relaxation of
-\Delta_1 u=\lambda |u|^{-1}u + |u|^{1^*-2} u,
admits a nontrivial solution u in BV(\Omega) for any \lambda\geq\lambda_1.
Nonstandard linking structures, for the associated functional, are recognized.
KW - Critical point theory
KW - Differential equations
KW - Equazioni differenziali
KW - Teoria dei punti critici
KW - Critical point theory
KW - Differential equations
KW - Equazioni differenziali
KW - Teoria dei punti critici
UR - http://hdl.handle.net/10807/3312
UR - http://www.springerlink.com/content/0944-2669
U2 - 10.1007/s00526-009-0246-1
DO - 10.1007/s00526-009-0246-1
M3 - Article
SN - 0944-2669
VL - 36
SP - 591
EP - 609
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
ER -