# Boundary value problems for nonlinear perturbations of some ϕ-Laplacians

Banach Center Publications (2007)

- Volume: 77, Issue: 1, page 201-214
- ISSN: 0137-6934

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topJ. Mawhin. "Boundary value problems for nonlinear perturbations of some ϕ-Laplacians." Banach Center Publications 77.1 (2007): 201-214. <http://eudml.org/doc/281609>.

@article{J2007,

abstract = {
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form
(ϕ(u'))' = f(t,u,u')
submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder theory is applied.
},

author = {J. Mawhin},

journal = {Banach Center Publications},

keywords = {Boundary value problem; mean curvature-like operator; Leray-Schauder degree},

language = {eng},

number = {1},

pages = {201-214},

title = {Boundary value problems for nonlinear perturbations of some ϕ-Laplacians},

url = {http://eudml.org/doc/281609},

volume = {77},

year = {2007},

}

TY - JOUR

AU - J. Mawhin

TI - Boundary value problems for nonlinear perturbations of some ϕ-Laplacians

JO - Banach Center Publications

PY - 2007

VL - 77

IS - 1

SP - 201

EP - 214

AB -
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form
(ϕ(u'))' = f(t,u,u')
submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder theory is applied.

LA - eng

KW - Boundary value problem; mean curvature-like operator; Leray-Schauder degree

UR - http://eudml.org/doc/281609

ER -

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