6533b859fe1ef96bd12b82c6

RESEARCH PRODUCT

Positive solutions for the Neumann p-Laplacian

Nikolaos S. PapageorgiouDiego AvernaElisabetta Tornatore

subject

Pure mathematicsPositive solutions Nonlinear regularity Nonlinear maximum principle Nonlinear Picone’s identityGeneral Mathematics010102 general mathematicsMathematical analysisLambda01 natural sciencesTerm (time)010101 applied mathematicsNonlinear systemSettore MAT/05 - Analisi Matematicap-Laplacian0101 mathematicsParametric statisticsMathematics

description

We examine parametric nonlinear Neumann problems driven by the p-Laplacian with asymptotically ( $$p-1$$ )-linear reaction term f(z, x) (as $$x\rightarrow +\infty $$ ). We determine the existence, nonexistence and minimality of positive solutions as the parameter $$\lambda >0$$ varies.

10.1007/s00605-017-1027-0http://hdl.handle.net/10447/235679