Competing Operators and Their Applications to Boundary Value Problems (Paperback)

Idioma: inglés

Editorial: Springer Nature Switzerland AG, Cham, 2026

3032154448 / 9783032154446

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Paperback. This book addresses problems driven by differential operators that lack monotonicity. The authors methods rely on coercivity and continuity, allowing for the construction of an approximative scheme whose convergence is induced by coercivity.This observation leads to a new type of solution, which is precisely a limit of finite-dimensional approximation schemes and leads to the weak solution, provided that the operator driving the equation is at least pseudomonotone. This new type of solution is called a generalized solution. To systematically treat its existence, the authors introduce an abstract existence tool that serves as a counterpart to the Browder-Minty Theorem in the non-variational case and the Weierstrass-Tonelli Theorem if the problem is potential. Thus, the authors utilize many already developed techniques, suitably modified due to the absence of the monotonicity assumption.The authors obtain three abstract results, also in the non-smooth case, which they apply to nonlinear boundary value problems. In their applications, they also deal with problems depending on an unbounded weight, which forces them to implement a suitable truncation technique.The book includes an extended chapter covering analysis on abstract tools from the theory of monotone operators and minimization techniques, supplied with proofs and comments that allow for a better understanding of the authors approach towards generalized solutions. It includes necessary background on Sobolev spaces, introduces the non-variational generalized solution, and investigates the existence of solutions for variational problems and inclusions. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

N° de ref. del artículo 9783032154446

Título
Competing Operators and Their Applications to Boundary Value Problems (Paperback)
Autor
Marek Galewski
Editorial
Springer Nature Switzerland AG, Cham
Año de publicación
2026
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
3032154448
ISBN 13
9783032154446

CitiRetail

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