A non-smooth Brezis-Oswald uniqueness result
We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while t↦∂tF(x,t)/tp−1t\hspace{0.33em}\mapsto \hspace...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-06-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2022-0594 |