Wyniki wyszukiwania

1

Weakly sequentially continuous maps and existence principles for elliptic equations

100%

Agarwal R., O'Regan D.

Applicationes Mathematicae

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2003

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tom 30

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nr 4

451-460

EN

We present a Furi-Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.

2

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Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory

81%

Agarwal R., O'Regan D., Sahu D.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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2007

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tom 27

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nr 2

399-409

EN

New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.

3

Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions

81%

Chu J., Jiang D., O'Regan D., Agarwal R.

Applicationes Mathematicae

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2005

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tom 32

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nr 3

293-303

EN

We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.

Ograniczanie wyników

2 Applicationes Mathematicae

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

3 Agarwal R.

3 O'Regan D.

1 Chu J.

1 Jiang D.

1 Sahu D.

1 2007

1 2005

1 2003

Weakly sequentially continuous maps and existence principles for elliptic equations

Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory

Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions