TY - JOUR
T1 - Linking solutions for p-Laplace equations with nonlinearity at critical growth
AU - Degiovanni, Marco
AU - Lancelotti, Sergio
PY - 2009
Y1 - 2009
N2 - Under a suitable condition on n and p, the quasilinear equation at critical growth
-\Delta_p u=\lambda |u|^{p-2}u + |u|^{p^*-2} u
is shown to admit a nontrivial weak solution u in W^{1,p}_0(\Omega) for any \lambda\geq\lambda_1.
Nonstandard linking structures, for the associated functional, are recognized.
AB - Under a suitable condition on n and p, the quasilinear equation at critical growth
-\Delta_p u=\lambda |u|^{p-2}u + |u|^{p^*-2} u
is shown to admit a nontrivial weak solution u in W^{1,p}_0(\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/10807/3311
UR - http://www.sciencedirect.com/science/journal/00221236
U2 - 10.1016/j.jfa.2009.01.016
DO - 10.1016/j.jfa.2009.01.016
M3 - Article
SN - 0022-1236
VL - 256
SP - 3643
EP - 3659
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
ER -