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On Neumann boundary value problems for elliptic equations

100%

Kandilakis D.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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2004

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tom 24

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nr 1

31-40

EN

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.

2

An existence result for nonlinear evolution equations of second order

100%

Kandilakis D.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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1996

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tom 16

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nr 2

153-160

EN

In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.

3

A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions

63%

Kandilakis D., Magiropoulos M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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2006

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tom 26

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nr 1

113-121

EN

We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.

Ograniczanie wyników

3 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

3 Kandilakis D.

1 Magiropoulos M.

1 2006

1 2004

1 1996

On Neumann boundary value problems for elliptic equations

An existence result for nonlinear evolution equations of second order

A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions