On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative | Zendy

Michał Bełdziński | Zendy; Marek Galewski | Zendy

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On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative

Author(s) -

Michał Bełdziński,

Marek Galewski

Publication year - 2018

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2019.39.2.131

Subject(s) - mathematics , uniqueness , diffeomorphism , nonlinear system , derivative (finance) , order (exchange) , boundary value problem , dirichlet distribution , mathematical analysis , work (physics) , second derivative , dirichlet problem , dirichlet boundary condition , mechanical engineering , physics , finance , quantum mechanics , financial economics , engineering , economics

In this work we consider second order Dirichelet boundary value problem with nonlinearity depending on the derivative. Using a global diffeomorphism theorem we propose a new variational approach leading to the existence and uniqueness result for such problems.

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