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

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… Click to show full 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: unique solvability; depending derivative; problem nonlinearity; nonlinearity depending

Journal Title: Opuscula Mathematica
Year Published: 2019

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