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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Competing Operators and Their Applications to Boundary Value Problems

Competing Operators and Their Applications to Boundary Value Problems

Galewski, Marek
Motreanu, Dumitru

Paperback

Series: Springerbriefs in Mathematics

General Mathematics

PREORDER - Expected ship date February 18, 2026

ISBN10: 3032154448
ISBN13: 9783032154446
Publisher: Springer
Published: Feb 18 2026
Pages: 101
Language: English

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.

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