Abstract
We consider a nonlinear Dirichlet problem driven by the p-Laplace differential operator with a reaction which has a subcritical growth restriction only from above. We prove two multiplicity theorems producing three nontrivial solutions, two of constant sign and the third nodal. The two multiplicity theorems differ on the geometry near the origin. In the semilinear case (that is,
Funding source: Javna Agencija za Raziskovalno Dejavnost RS
Award Identifier / Grant number: P1-0292
Award Identifier / Grant number: J1-8131
Award Identifier / Grant number: J1-7025
Award Identifier / Grant number: N1-0064
Award Identifier / Grant number: N1-0083
Funding statement: This research was supported by the Slovenian Research Agency grants P1-0292, J1-8131, J1-7025, N1-0064 and N1-0083. V. D. Rădulescu acknowledges the support through the Project MTM2017-85449-P of the DGISPI (Spain).
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