Recent developments in problems with nonstandard growth and nonuniform ellipticity
G Mingione, V Rădulescu - Journal of Mathematical Analysis and …, 2021 - Elsevier
Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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Global higher integrability for minimisers of convex obstacle problems with (p, q)-growth
L Koch - Calculus of Variations and Partial Differential …, 2022 - Springer
We prove global W 1, q (Ω, RN)-regularity for minimisers of F (u)=∫ Ω F (x, D u) dx satisfying
u≥ ψ for a given Sobolev obstacle ψ. W 1, q (Ω, RN) regularity is also proven for minimisers …
u≥ ψ for a given Sobolev obstacle ψ. W 1, q (Ω, RN) regularity is also proven for minimisers …
[HTML][HTML] Parabolic double phase obstacle problems
We prove existence results for the parabolic double phase obstacle problem: Find u∈ K⊂ X
0 with u (⋅, 0)= 0 satisfying 0∈ u t+ A u+ F (u)+∂ IK (u) in X 0∗, where A: X 0→ X 0∗ given …
0 with u (⋅, 0)= 0 satisfying 0∈ u t+ A u+ F (u)+∂ IK (u) in X 0∗, where A: X 0→ X 0∗ given …
W1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth
X Zhang, S Zheng - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
In this paper, we are devoted to a global W 1, γ (⋅)-estimate for elliptic obstacle problem with
double phase growth for the borderline setting in nonsmooth domain. More precisely, we …
double phase growth for the borderline setting in nonsmooth domain. More precisely, we …