Wyniki wyszukiwania

1

Kovalevska vs. Kovacic-two different notions of integrability and their connections

100%

Goldstein P.

Banach Center Publications

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2002

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tom 58

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nr 1

63-73

EN

Ordinary differential equations all share the same common root-real physical problems. But, although the physical motivation remains the most important one, the way the subject develops does depend highly on the methods available. In the exposition I would like to show some connections between two methods of checking the ODE for integrability (whatever it should mean), with distant motivations and techniques. These are the so-called Painlevé tests and the methods originating in Ziglin's theory and developed widely by Morales and Ramis.

2

On the long-time behaviour of solutions of the p-Laplacian parabolic system

100%

Goldstein P.

Colloquium Mathematicum

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2008

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tom 113

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nr 2

267-278

EN

Convergence of global solutions to stationary solutions for a class of degenerate parabolic systems related to the p-Laplacian operator is proved. A similar result is obtained for a variable exponent p. In the case of p constant, the convergence is proved to be $𝓒¹_{loc}$, and in the variable exponent case, L² and $W^{1,p(x)}$-weak.

3

Weak compactness of solutions for fourth order elliptic systems with critical growth

51%

Goldstein P., Strzelecki P., Zatorska-Goldstein A.

Studia Mathematica

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2013

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tom 214

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nr 2

137-156

EN

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

1 Studia Mathematica

3 Goldstein P.

1 Strzelecki P.

1 Zatorska-Goldstein A.

1 2013

1 2008

1 2002

Kovalevska vs. Kovacic-two different notions of integrability and their connections

On the long-time behaviour of solutions of the p-Laplacian parabolic system

Weak compactness of solutions for fourth order elliptic systems with critical growth