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<p>A second-order quasilinear elliptic equation with varApplying inequalitiesiable nonlinearity exponents and a locally summable right-hand side is considered. The stability property is proved and, as a consequence, the existence of a local renormalized solution of the Dirichlet problem in an arbitrary unbounded domain is established.</p>

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LOCAL RENORMALIZED SOLUTIONS TO ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS IN AN UNBOUNDED DOMAIN

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • L. M. Kozhevnikova

摘要

A second-order quasilinear elliptic equation with varApplying inequalitiesiable nonlinearity exponents and a locally summable right-hand side is considered. The stability property is proved and, as a consequence, the existence of a local renormalized solution of the Dirichlet problem in an arbitrary unbounded domain is established.