Open AccessOn the existence of solutions to a fourth‐order quasilinear resonant problem
Author(s) -
Shibo Liu,
Marco Squassina
Publication year - 2002
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/s1085337502000805
Subject(s) - mathematics , order (exchange) , boundary (topology) , harmonic , morse theory , algorithm , mathematical analysis , physics , finance , quantum mechanics , economics
By means of Morse theory we prove the existence of a nontrivialsolution to a superlinear p-harmonic elliptic problem withNavier boundary conditions having a linking structure around theorigin. Moreover, in case of both resonance near zero andnonresonance at +∞ the existence of two nontrivialsolutions is shown
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