@Article{Bełdziński2019, author = "Bełdziński, Michał and Galewski, Marek", title = "On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative", journal = "Opuscula Math.", year = "2019", volume = "39", number = "2", pages = "131--144", doi = "https://doi.org/10.7494/OpMath.2019.39.2.131", url = "https://doi.org/10.7494/OpMath.2019.39.2.131", abstract = "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.", keywords = "diffeomorphism, uniqueness, non-potential problems, variational methods, monotone methods, Palais-Smale condition", issn = "1232-9274" }