Titlebook: Analysis and Continuum Mechanics; A Collection of Pape Stuart S. Antman,Ha?m Brezis,William P. Ziemer Book 1989 Springer-Verlag Berlin Heid

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Symmetry and the Bifurcation of Capillary-Gravity Waves,ich takes account of the effects of gravity and surface tension. They remark that the question of existence of such waves is “a non-trivial and still incompletely solved problem”. It is our purpose in the present paper to give a rigorous mathematical account of the existence theory for such waves of

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Walter Kr?mer,Olaf Schoffer,Lars Tschierschtained for the embeddings of the Sobolev space ..(.) in suitable Lebesgue spaces ..(.) when . is a bounded open subset of ?., and even for certain types of unbounded sets .. When . = ., estimates for these numbers are known for the compact embedding of ..(.) in particular Orlicz spaces.

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Lecture Notes in Computer Science, ... lies above the line, l, joining the endpoints of the string, .. lies below ., .. and in particular adjacent points have displacements of opposite sign relative to .. .used an elegant argument based on the Brouwer Fixed Point Theorem to prove