Uniqueness of the Renormalized Solution to Quasilinear Elliptic Equation with Hölder-Type Dependence and Under a Local and Fourier Boundary Conditions
DOI:
https://doi.org/10.53555/ms.v5i8.1085Keywords:
Nonlinear elliptic equations, uniqueness, Hölder nonlinearities, renormalized solutions, Fourier boundary conditionsAbstract
In this work we prove uniqueness of renormalized solution for elliptic equations of the type in a bounded set with Fourier boundary conditions. The novelty of our results consists in the possibility to deal with cases when is only locally Hölder continuous with respect to and the modulus of Lipschitz continuity is singular.
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