A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.

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### inverse of sobolev riemannian metric still sobolev?

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### Unclear inequality of L2 norms (Poisson equation for modeling flow)

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### Does this chain rule in Sobolev spaces hold?

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### Approximation in parabolic Sobolev spaces

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### Can we stay invertible while approximating linear maps in Sobolev spaces?

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### Constant in trace theorem for balls

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### Is a relatively weakly compact subset of $W^{1,1}(\Omega)$ metrizable?

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### Steklov averages and negative parabolic sobolev spaces

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### Sobolev embeddings for vector-valued functions

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### PDE satisfied by projection of a function onto a subspace

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### Approximating norms using numerical integration? [closed]

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### Fast growing unbounded functions in the Sobolev space $H^1(\Omega)$

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### Estimates for the Sobolev inequality

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### Weak closedness of the extremal set to a linear inequality

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### Intersection of Sobolev space with the space of continuous functions

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### Smallness of cut-off functions at critical Sobolev regularity

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### Regularity of the Jacobian of a $W^{2,n}$ Sobolev mapping

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### A Poincaré-type inequality: proof or counterexample

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### Existence for $-\Delta u + (g(x)-\Delta u)^+\varphi(u) = f(x)$

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### Is a Sobolev map with smooth minors smooth on the whole domain?

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### Fourier Lapalacian over periodic end

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### Relation between a norm and norm of Besov spaces

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### Shifting Sobolev norms in a hyperbolic estimate

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### Is a Sobolev map with smooth minors smooth?

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### Continuity of a multiplication operator in fractional Sobolev space

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### Exponential decay of a convolution

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### How does the constant in Sobolev trace theorem depend on the domain geometric property?

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### Fractional Sobolev spaces of order 0

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### Regularity of solutions to $-\Delta u = \operatorname{div} F$, $F\in L^1$

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### Regularity of level sets of Sobolev derivatives

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### Can I approximate a function of bounded variation with orthogonal polynomial?

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### Is the maximal function bounded on the Besov space?

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### Coercivity of $\int (\Delta u + u)^2$ on a subspace of $H^2$?

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### Constructive definitions of the Sobolev trace

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### Research topics in distribution theory

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### Solving classical parabolic equation by using Littlewood-Paley theory

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### Comparison of Bessel Capacities

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### Proving the inequality $|\nabla |\nabla^r \psi|| \le |\nabla^{r+1} \psi|$

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### Is the product of two Sobolev functions in L^p?

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### Morrey condition (integral condition) and (local) Holder condition

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### Relationships between fractional Sobolev space, Bessel spacse and Hajłasz–Sobolev space

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### Is the Delta distribution a continuous functional on $H^1(\mathbb{R})$? [closed]

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### Sobolev and Poincare inequalities on compact Riemannian manifolds

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### Gagliardo-Nirenberg inequality for bounded domain

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### Sobolev Embedding on Finite Tube

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### Traces of Sobolev spaces

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### Production of $H^s$ singularities in the strictly hyperbolic Cauchy problem

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### Hidden regularity for the coupled wave equation with dynamaic boundary condition

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### Trace embedding and unbounded domain

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