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

Opuscula Mathematica

article

Michał Bełdziński¹  Marek Galewski¹ 

[1] Łódź University of Technology, Institute of Mathematics

关键词: diffeomorphism;    uniqueness;    non-potential problems;    variational methods;    monotone methods;    Palais-Smale condition.;   

DOI  :  10.7494/OpMath.2019.39.2.131

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC