ON THE ORIENTED DEGREE OF A CERTAIN CLASS OF PERTURBATIONS OF FREDHOLM MAPPINGS, AND ON BIFURCATION OF SOLUTIONS OF A NONLINEAR BOUNDARY VALUE PROBLEM WITH NONCOMPACT PERTURBATIONS

DOI10.1070/SM1993v074n02ABEH003358zbMath0774.47035MaRDI QIDQ3135769

Viktor G. Zvyagin

Publication date: 12 September 1993

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/72323

zbMATH Keywords

admissible homotopies\(GL_ c\)-equipped bordismbifurcation branch in an elliptic boundary value problemdegree of equivariant mappingshomotopies preserving Fredholm structureproper Fredholm mapping of nonnegative index

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) (Semi-) Fredholm operators; index theories (47A53) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

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Oriented degree of Fredholm maps: finite-dimensional reduction method ⋮ Solvability of the initial-boundary value problem for the high-order Oldroyd model ⋮ The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems ⋮ Solvability of one non-Newtonian fluid dynamics model with memory ⋮ Degree of locally condensing perturbations of Fredholm maps with positive index and applications

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