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$-\Delta u =1$ in a unbounded strip

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#complex-analysis #partial-differential-equations #elliptic-equations
11
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A question about regularity results in the linear Elliptic case which are given by Schauder theory

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#regularity-theory-of-pdes #elliptic-equations
27
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Dense subspace of radial functions of $H^1_0(\Omega)$

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#partial-differential-equations #sobolev-spaces #elliptic-equations #fractional-sobolev-spaces
56
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Is it possible to find a function $u_0 \in H_0^{1}(\Omega)$ such that $I(u_0)<0$?

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#sobolev-spaces #elliptic-equations
69
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The constant in Schauder estimate of linear elliptic PDE

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#partial-differential-equations #regularity-theory-of-pdes #elliptic-equations
42
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Second order elliptic PDE with inhomogeneous Dirichlet boundary condition

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#boundary-value-problem #elliptic-equations #finite-element-method
32
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How to calculate the Volume of an Elliptic Truncated Cone?

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#calculus #integration #differential-geometry #volume #elliptic-equations
1.2k
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chain rule for weak derivatives

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#sobolev-spaces #weak-derivatives #elliptic-equations
935
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The regularity of elliptic equation

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#partial-differential-equations #sobolev-spaces #harmonic-analysis #elliptic-equations
114
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what is the difference between renormalized solution and entropy solutions for nonlinear elliptic PDE?

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#measure-theory #partial-differential-equations #sobolev-spaces #elliptic-equations
622
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Elliptic and Fredholm partial differential operators

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#partial-differential-equations #dynamical-systems #differential-operators #elliptic-equations
54
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Concavity near the boundary

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#real-analysis #convex-analysis #boundary-value-problem #elliptic-equations
179
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About a "gluing lemma" for Sobolev functions and a relation with elliptic equations

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#sobolev-spaces #elliptic-equations
194
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Can someone help with finding the area of a super ellipse?

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#elliptic-equations
43
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does exists a Liouville theorem in this case?

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#sobolev-spaces #elliptic-equations

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