Boundary growth of Sobolev functions of monotone type for double phase functionals
Keyword(s):
Our aim in this paper is to deal with boundary growth of spherical means of Sobolev functions of monotone type for the double phase functional \(\Phi_{p,q}(x,t) = t^{p} + (b(x) t)^{q}\) in the unit ball B of \(\mathbb{R}^n\), where \(1 < p < q < \infty\) and \(b(\cdot)\) is a non-negative bounded function on B which is Hölder continuous of order \(\theta \in (0,1]\).
Keyword(s):
2008 ◽
Vol 192
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pp. 137-149
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2020 ◽
Vol 45
(1)
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pp. 279-292
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2007 ◽
Vol 59
(6)
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pp. 1135-1153
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2017 ◽
Vol 273
(3)
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pp. 1258-1294
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