TY  - JOUR
ID  - Bełdziński2019
LB  - Bełdziński2019
AU  - Bełdziński, Michał
AU  - Galewski, Marek
TI  - On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative
ST  - On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 2
SP  - 131
EP  - 144
DO  - https://doi.org/10.7494/OpMath.2019.39.2.131
UR  - https://doi.org/10.7494/OpMath.2019.39.2.131
AB  - 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.
KW  - diffeomorphism
KW  - uniqueness
KW  - non-potential problems
KW  - variational methods
KW  - monotone methods
KW  - Palais-Smale condition
SN  - 1232-9274
ER  -