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Higher differentiability of weak solutions to 2nd order elliptic PDEs with mixed boundary conditions

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#sobolev-spaces #regularity-theory-of-pdes #weak-derivatives #elliptic-equations
1.2k
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Discretize derivative of heat flux with variable conductivity

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#partial-differential-equations #numerical-methods #elliptic-equations #finite-difference-methods
380
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Error estimates in the $L^2$ norm of conforming FEM about Poisson’s equation with mixed boundary conditions

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#regularity-theory-of-pdes #finite-element-method #poissons-equation #elliptic-equations
1.8k
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what is the equation of a rotated ellipsoid?

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#rotations #elliptic-equations
141
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Elliptic PDE- solution in weak sense

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#partial-differential-equations #weak-derivatives #elliptic-equations
171
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Eigenfunction of Dirichlet Laplacian on smooth domain in $\mathbb{R}^n$

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#reference-request #partial-differential-equations #laplacian #eigenfunctions #elliptic-equations
111
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Neumann Laplace eigenfunctions

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#reference-request #partial-differential-equations #laplacian #eigenfunctions #elliptic-equations
2.8k
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find the locus of the vertices of equilateral triangle circumscribing the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

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#elliptic-equations
122
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Existence of Positive Solutions to Constrained Linear Elliptic Second-Order PDE

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#ordinary-differential-equations #partial-differential-equations #constraints #elliptic-equations
336
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Higher regularity for solutions of elliptic equations

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#regularity-theory-of-pdes #elliptic-equations
38
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Question on optimal regularity for the elliptic Neumann problem

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #elliptic-equations
88
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Eigenvalue of a given operator

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#ordinary-differential-equations #eigenvalues-eigenvectors #eigenfunctions #elliptic-equations
68
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Semilinear elliptic equation $\Delta u = P(u)$ with $P$ being polynomial of degree 3

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#reference-request #elliptic-equations
141
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A coupled problem of elliptic equations.

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#partial-differential-equations #elliptic-equations
77
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Stretched elastic band shape

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#partial-differential-equations #elliptic-equations

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