Displaying similar documents to “A perturbation problem in the presence of affine symmetries”

An abstract setting for boundary problems with affine symmetries

Tullio Valent (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Two symmetries of affine type for any mapping acting between Banach spaces are described and studied. These symmetries translate certain structural properties of boundary value problems for differential operators to an abstract setting.

Functional equations in real-analytic functions

G. Belitskii, V. Tkachenko (2000)

Studia Mathematica

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The equation φ (x) = g(x,φ (x)) in spaces of real-analytic functions is considered. Connections between local and global aspects of its solvability are discussed.

Łojasiewicz inequalities for sets definable in the structure ℝ exp

Ta Lê Loi (1995)

Annales de l'institut Fourier

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We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.