Multiplicity results for systems of asymptotically linear second order equations

Francesca Dalbono; Francesca Dalbono; Anna Capietto

Multiplicity results for systems of asymptotically linear second order equations

Francesca Dalbono, Francesca Dalbono, Anna Capietto

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution

Original language	English
Pages (from-to)	325-356
Number of pages	32
Journal	Advanced Nonlinear Studies
Volume	2
Publication status	Published - 2002

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics

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title = "Multiplicity results for systems of asymptotically linear second order equations",

abstract = "We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution",

keywords = "Asymptotically linear second order system, continuation theorem, Asymptotically linear second order system, continuation theorem",

author = "Francesca Dalbono and Francesca Dalbono and Anna Capietto",

year = "2002",

language = "English",

volume = "2",

pages = "325--356",

journal = "Advanced Nonlinear Studies",

issn = "1536-1365",

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T1 - Multiplicity results for systems of asymptotically linear second order equations

AU - Dalbono, Francesca

AU - Capietto, Anna

PY - 2002

Y1 - 2002

N2 - We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution

AB - We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution

KW - Asymptotically linear second order system

KW - continuation theorem

KW - Asymptotically linear second order system

KW - continuation theorem

UR - http://hdl.handle.net/10447/64875

UR - https://www.degruyter.com/view/j/ans.2002.2.issue-4/ans-2002-0401/ans-2002-0401.xml

M3 - Article

VL - 2

SP - 325

EP - 356

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

SN - 1536-1365

ER -