Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators

Vy Khoi Le

Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators

Vy Khoi Le

Mathematics and Statistics

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

Abstract

We consider here the boundary value problem −div(A(|ru|)ru) = g(x, u, µ) in ª u = 0 on @ª, in the case where the principal term A(|ru|)ru has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.

Original language	American English
Journal	Houston Journal of Mathematics
State	Published - Jan 1 2006

Keywords

Orlicz-Sobolev space
global bifurcation
quasilinear equation
slow growth

Disciplines

Mathematics
Statistics and Probability

Access to Document

http://www.math.uh.edu/~hjm/restricted/pdf32(3)/17le.pdf

Cite this

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title = "Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators",

abstract = " We consider here the boundary value problem −div(A(|ru|)ru) = g(x, u, µ) in ª u = 0 on @ª, in the case where the principal term A(|ru|)ru has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.",

keywords = "Orlicz-Sobolev space, global bifurcation, quasilinear equation, slow growth",

author = "Le, \{Vy Khoi\}",

year = "2006",

month = jan,

day = "1",

language = "American English",

journal = "Houston Journal of Mathematics",

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T1 - Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators

AU - Le, Vy Khoi

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We consider here the boundary value problem −div(A(|ru|)ru) = g(x, u, µ) in ª u = 0 on @ª, in the case where the principal term A(|ru|)ru has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.

AB - We consider here the boundary value problem −div(A(|ru|)ru) = g(x, u, µ) in ª u = 0 on @ª, in the case where the principal term A(|ru|)ru has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.

KW - Orlicz-Sobolev space

KW - global bifurcation

KW - quasilinear equation

KW - slow growth

UR - https://scholarsmine.mst.edu/math_stat_facwork/566

UR - http://www.math.uh.edu/~hjm/restricted/pdf32(3)/17le.pdf

M3 - Article

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

ER -

Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators

Abstract

Keywords

Disciplines

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