TY - JOUR
T1 - Nontrivial solutions of p-superlinear p-Laplacian problems via a cohomological local splitting
AU - Degiovanni, Marco
AU - Lancelotti, Sergio
AU - Perera, Kanishka
PY - 2010
Y1 - 2010
N2 - We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity.
We prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.
AB - We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity.
We prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.
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/10807/2974
UR - http://www.worldscinet.com/ccm/
U2 - 10.1142/S0219199710003890
DO - 10.1142/S0219199710003890
M3 - Article
SN - 0219-1997
VL - 12
SP - 475
EP - 486
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
ER -