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RESEARCH PRODUCT

Pairs of nontrivial smooth solutions for nonlinear Neumann problems

Calogero Vetro

subject

Nonlinear systemStrong resonanceSettore MAT/05 - Analisi MatematicaApplied MathematicsC_c-conditionMathematical analysisNeumann boundary conditionDifferential operatorCritical point (mathematics)Second deformation theoremMathematicsNonlinear regularity

description

Abstract We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a reaction term that exhibits strong resonance at infinity. Using variational tools based on the critical point theory, we prove the existence of two nontrivial smooth solutions.

yearjournalcountryeditionlanguage
2020-05-01
10.1016/j.aml.2019.106171http://hdl.handle.net/10447/408581