On the existence of solutions to a fourth-order quasilinear resonant problem

Shibo Liu and Marco Squassina

Abstract and Applied Analysis, 2002, vol. 7, 1-9

Abstract:

By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p -harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at + ∞ the existence of two nontrivial solutions is shown.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:347809

DOI: 10.1155/S1085337502000805

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