C¹(Rᴺ) Versus W¹,ᵖ(Rᴺ) Local Minimizers
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Published:2022-06-09
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Volume:
Page:232-241
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ISSN:2705-1056
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Container-title:Contemporary Mathematics
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language:
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Short-container-title:Contemporary Mathematics
Abstract
This paper deals with the energy functional associated with a quasilinear elliptic equation in RN which is driven by the p-Laplacian operator. It is shown for such functional that any C1(RN) local minimizer in an appropriate sense is a W1,p(RN) local minimizer. This extends to RN the celebrated property of Brezis-Nirenberg type known for bounded domains.
Publisher
Universal Wiser Publisher Pte. Ltd