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We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain… Click to show full abstract
We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain ${\varOmega }\subset \mathbb {R}^{N} (N \geq 2)$ . We prove the existence of entropy solutions avoiding sign condition and coercivity on the lower order terms.
Keywords:
unbounded domain;
protect overrightarrow;
anisotropic;
overrightarrow anisotropic;
anisotropic elliptic
Journal Title: Acta Mathematica Vietnamica
Year Published: 2021
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Journal Title: Acta Mathematica Vietnamica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!