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Nonlinear operators --- Approximation theory --- Congresses.

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Group theory --- Semigroups of operators --- Nonlinear operators --- Congresses --- Semigroups of operators - Congresses --- Nonlinear operators - Congresses

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In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book rep

Integral operators. --- Mathematics. --- Nonlinear operators. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Operators, Nonlinear --- Operators, Integral --- Operator theory --- Integrals --- Integral operators --- Nonlinear operators

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This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research.

Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics)

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Differential equations, Nonlinear --- Differential equations, Partial --- Equations différentielles non linéaires --- Equations aux dérivées partielles --- Congresses --- Congrès --- Nonlinear operators --- Calculus of variations --- Nonlinear operators - Congresses --- Calculus of variations - Congresses