On the Superlinear Lazer-McKenna Conjecture: Part II

Edward Norman Dancer; Shusen Yan

doi:10.1080/03605300500258865

On the Superlinear Lazer-McKenna Conjecture: Part II

Edward Norman Dancer, Shusen Yan

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

36 Citations (Scopus)

Abstract

We prove that certain weakly nonlinear elliptic equations have many solutions when a paragraph is large. The nonlinearity grows superlinearly for y positive but grows linearly for y negative.

Original language	English
Pages (from-to)	1331-1358
Journal	Communications in Partial Differential Equations
Volume	30
Issue number	9
DOIs	https://doi.org/10.1080/03605300500258865
Publication status	Published - 2005

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1080/03605300500258865

https://hdl.handle.net/1959.11/3713

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title = "On the Superlinear Lazer-McKenna Conjecture: Part II",

abstract = "We prove that certain weakly nonlinear elliptic equations have many solutions when a paragraph is large. The nonlinearity grows superlinearly for y positive but grows linearly for y negative.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Dancer, \{Edward Norman\} and Shusen Yan",

year = "2005",

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language = "English",

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pages = "1331--1358",

journal = "Communications in Partial Differential Equations",

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AB - We prove that certain weakly nonlinear elliptic equations have many solutions when a paragraph is large. The nonlinearity grows superlinearly for y positive but grows linearly for y negative.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

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U2 - 10.1080/03605300500258865

DO - 10.1080/03605300500258865

M3 - Article

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VL - 30

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EP - 1358

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 9

ER -

On the Superlinear Lazer-McKenna Conjecture: Part II

Abstract

Keywords

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