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Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/11313
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dc.contributor.authorGarain, Prashantaen_US
dc.date.accessioned2023-02-26T06:43:46Z-
dc.date.available2023-02-26T06:43:46Z-
dc.date.issued2023-
dc.identifier.citationBal, K., & Garain, P. (2023). WEIGHTED ANISOTROPIC SOBOLEV INEQUALITY WITH EXTREMAL AND ASSOCIATED SINGULAR PROBLEMS. Differential and Integral Equations, 36(1-2), 59-92. doi:10.57262/die036-0102-59en_US
dc.identifier.issn0893-4983-
dc.identifier.otherEID(2-s2.0-85144488506)-
dc.identifier.urihttps://doi.org/10.57262/die036-0102-59-
dc.identifier.urihttps://dspace.iiti.ac.in/handle/123456789/11313-
dc.description.abstractWe consider singular problems associated with the weighted anisotropic p-Laplace operator Hp, wu = div(w(x)(H(∇u))p-1∇H(∇u)), where H is a Finsler-Minkowski norm and the weight w belongs to a class of p-admissible weights, which may vanish or blow up near the origin. We discuss existence and regularity properties of weak solutions for the mixed and exponential singular nonlinearities. In particular, the existence result for the purely singular problem leads us to the validity of a weighted anisotropic Sobolev inequality with an extremal. © 2023 Differential and Integral Equation. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherKhayyam Publishingen_US
dc.sourceDifferential and Integral Equationsen_US
dc.titleWEIGHTED ANISOTROPIC SOBOLEV INEQUALITY WITH EXTREMAL AND ASSOCIATED SINGULAR PROBLEMSen_US
dc.typeJournal Articleen_US
dc.rights.licenseAll Open Access, Green-
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