Artículos de revistas
MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS
Fecha
2010Registro en:
ADVANCES IN DIFFERENTIAL EQUATIONS, NEW YORK, v.15, n.11/Dez, p.1083-1102, 2010
1079-9389
Autor
ALVES, Claudianor O.
SOARES, Sergio H. M.
Institución
Resumen
This paper proves the multiplicity of positive solutions for the following class of quasilinear problems: {-epsilon(p)Delta(p)u+(lambda A(x) + 1)vertical bar u vertical bar(p-2)u = f(u), R(N) u(x)>0 in R(N), where Delta(p) is the p-Laplacian operator, N > p >= 2, lambda and epsilon are positive parameters, A is a nonnegative continuous function and f is a continuous function with subcritical growth. Here, we use variational methods to get multiplicity of positive solutions involving the Lusternick-Schnirelman category of intA(-1)(0) for all sufficiently large lambda and small epsilon.