Three solutions for parametric problems with nonhomogeneous (a,2)-type differential operators and reaction terms sublinear at zero

Roberto Livrea, Leszek Gasiński, Pasquale Candito

Risultato della ricerca: Article

Abstract

We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal
Lingua originaleEnglish
pagine (da-a)1-24
Numero di pagine24
RivistaJournal of Mathematical Analysis and Applications
Volume480
Stato di pubblicazionePublished - 2019

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Three Solutions
Differential operator
Polynomials
Polynomial Growth
Zero
Smooth Solution
Term
Dirichlet Problem
Distinct
Arbitrary

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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abstract = "We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal",
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AU - Livrea, Roberto

AU - Gasiński, Leszek

AU - Candito, Pasquale

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Y1 - 2019

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AB - We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal

UR - http://hdl.handle.net/10447/371052

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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