# On Neumann boundary value problems for elliptic equations

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2004)

- Volume: 24, Issue: 1, page 31-40
- ISSN: 1509-9407

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topDimitrios A. Kandilakis. "On Neumann boundary value problems for elliptic equations." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 24.1 (2004): 31-40. <http://eudml.org/doc/271551>.

@article{DimitriosA2004,

abstract = {We provide two existence results for the nonlinear Neumann problem
⎧-div(a(x)∇u(x)) = f(x,u) in Ω
⎨
⎩∂u/∂n = 0 on ∂Ω,
where Ω is a smooth bounded domain in $ℝ^N$, a is a weight function and f a nonlinear perturbation. Our approach is variational in character.},

author = {Dimitrios A. Kandilakis},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {variational methods; Palais-Smale condition; saddle point theorem; mountain pass theorem; elliptic equation; existence; variational method},

language = {eng},

number = {1},

pages = {31-40},

title = {On Neumann boundary value problems for elliptic equations},

url = {http://eudml.org/doc/271551},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Dimitrios A. Kandilakis

TI - On Neumann boundary value problems for elliptic equations

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2004

VL - 24

IS - 1

SP - 31

EP - 40

AB - We provide two existence results for the nonlinear Neumann problem
⎧-div(a(x)∇u(x)) = f(x,u) in Ω
⎨
⎩∂u/∂n = 0 on ∂Ω,
where Ω is a smooth bounded domain in $ℝ^N$, a is a weight function and f a nonlinear perturbation. Our approach is variational in character.

LA - eng

KW - variational methods; Palais-Smale condition; saddle point theorem; mountain pass theorem; elliptic equation; existence; variational method

UR - http://eudml.org/doc/271551

ER -

## References

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