Multiple solutions for the π-Laplacian under global nonresonance
Manuel del Pino, Raul F Manasevich Β· Proceedings of the American Mathematical Society Β· 1991
Via the study of a simple Dirichlet boundary value problem associated with the one-dimensional p p -Laplacian, p > 1 p > 1 , we show that in globally nonresonant problems for this differential operator the number of solutions may be arbitrarily large when p β ( 1 , β ) β { 2 } p \in (1,\infty )\backslash \{ 2\} . From this point of view p = 2 p = 2 turns out to be a very special case.