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Bounded minimizers of double phase problems at nearly linear growth
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abstract
Bounded minimizers of double phase problems at nearly linear growth have locally H\"older continuous gradient within the sharp maximal nonuniformity range $q<1+\alpha$.
Forward citations
Cited by 3 Pith papers
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Intrinsic Schauder estimates at nearly linear growth
Develops a nonlinear potential theoretic framework for intrinsic Schauder estimates in variational problems at nearly linear growth that covers variable exponent, double, and multi-phase settings.
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Sobolev regularity for the nonlocal $(1, p)$-Laplace equations in the superquadratic case
Weak solutions of the nonlocal (1,p)-Laplace equation in the superquadratic case p≥2 are shown to lie in W^{γ,q}_{loc} for γ< spp/(p−1), and to have a gradient in L^q_{loc} when sp>(p−1)/p.
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Sketches of Nonuniformly Elliptic Schauder Theory
A survey of the recent proof that Schauder regularity estimates hold for minimizers of nonuniformly elliptic variational integrals under a sharp growth condition.
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