We consider the singular set in the thin obstacle problem with weight| x n+ 1| a for a∈(− 1,
1), which arises as the local extension of the obstacle problem for the fractional Laplacian (a …

Regularity results for a class of non-autonomous obstacle problems with (p,q)-growth -
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This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary
conditions. We investigate the existence, uniqueness and W 2, p-regularity results by finding …

We establish the higher differentiability of solutions to a class of obstacle problems of the
type min⁡{∫ Ω f (x, D v (x)) dx: v∈ K ψ (Ω)}, where ψ is a fixed function called obstacle, K ψ …

We deal with a global Calder\'on-Zygmund type estimate for elliptic obstacle problems of $ p
$-Laplacian type with measure data. For this paper, we focus on the singular case of growth …

Free boundary regularity in the fully nonlinear parabolic thin obstacle problem Skip to content
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The main goal of this paper is to discuss the local Hölder continuity of the gradients for weak
solutions of the following non-homogenous elliptic p (x)-Laplacian equations of divergence …

In this paper we establish the local regularity estimates in Besov spaces of weak solutions
for the elliptic p (x)-Laplacian equation with the logarithmic growth in divergence form div …

In this paper we obtain the interior Hölder regularity of the gradient for the elliptic p (x)-
Laplacian equation with the logarithmic function div A∇ u⋅∇ up (x)− 2 2 ln e+ A∇ u⋅∇ u …

The goal of this PhD thesis is to collect the results of the author in the study of thin obstacle
problems. We start by giving an introduction to the Signorini or thin obsta\-cle problem …