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.
Liu, S., Squassina, M., On the existence of solutions to a fourth order quasilinear resonant problem, <<ABSTRACT AND APPLIED ANALYSIS>>, 2002; 7 (3): 125-133. [doi:10.1155/S1085337502000805] [http://hdl.handle.net/10807/92802]
On the existence of solutions to a fourth order quasilinear resonant problem
Squassina, MarcoUltimo
2002
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.
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