Multiple solutions for the $p$-Laplacian under global nonresonance
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- by Manuel A. del Pino and Raúl F. Manásevich PDF
- Proc. Amer. Math. Soc. 112 (1991), 131-138 Request permission
Abstract:
Via the study of a simple Dirichlet boundary value problem associated with the one-dimensional $p$-Laplacian, $p > 1$, we show that in globally nonresonant problems for this differential operator the number of solutions may be arbitrarily large when $p \in (1,\infty )\backslash \{ 2\}$. From this point of view $p = 2$ turns out to be a very special case.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 131-138
- MSC: Primary 34B15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1045589-1
- MathSciNet review: 1045589