The study demonstrates the existence of solutions and energy bounds in a Zaremba problem, suggesting improved solution properties.
The existence of a solution and an energy bound are proven. The increased summability of the gradient of the solution to the Zaremba problem in a bounded strictly Lipschitz domain is also proved for a nonhomogeneous p -elliptic equation with low-order linear terms.
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A. G. Chechkina (2025) studied this question.
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