On the existence of solutions to a fourth-order quasilinear resonant problem
Liu, Shibo ; Squassina, Marco
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 125-133 / Harvested from Project Euclid
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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 $+\infty$ the existence of two nontrivial solutions is shown.
Publié le : 2002-05-14
Classification:  31B30,  35G30,  58E05 
@article{1050348480,
     author = {Liu, Shibo and Squassina, Marco},
     title = {On the existence of solutions to a fourth-order quasilinear resonant problem},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 125-133},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348480}
}

Liu, Shibo; Squassina, Marco. On the existence of solutions to a fourth-order quasilinear resonant problem. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  125-133. http://gdmltest.u-ga.fr/item/1050348480/