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

Shibo Liu and Marco Squassina

Abstract and Applied Analysis, 2002, vol. 7, issue 3, 125-133

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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https://doi.org/10.1155/S1085337502000805

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:3:p:125-133

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