List questions from elliptic-operators

Published on 20 Apr 2021 - 20:17

641

Views

Is the eigenfunction corresponding to the principal eigenvalue positive within $U$ when $a^{ij} \in L^\infty(U)$?

Published on 05 May 2021 - 15:11

61

Views

Convergence of solution of PDE as forcing term varies.

Published on 24 May 2021 - 15:27

535

Views

Finite difference approximation of elliptic operator: divergence form vs. non-divergence form

Published on 17 Jun 2021 - 20:11

25

Views

Help in the choice of the best coefficients to study the convergence of the finite element method for PDE

Published on 06 Jul 2021 - 8:30

29

Views

Are solutions to this PDE bounded uniformly in $\mathbb{R}^n$

Published on 07 Jul 2021 - 18:58

135

Views

Is Nehari manifold a topological manifold?

Published on 14 Jul 2021 - 18:40

26

Views

Euler operator is uniformly elliptic

Published on 31 Aug 2021 - 11:12

181

Views

Regularity of higher order elliptic problem on compact smooth manifolds with boundary

Published on 14 Sep 2021 - 18:20

80

Views

On a Riemannian manifold which is globally diffeomorphic to $\Bbb R^n$, can we write the Laplace-Beltrami in the prescribed form on the whole space?

Published on 25 Oct 2021 - 14:18

398

Views

Analytical solution to Laplace equation for comparison with FEM solution

Published on 29 Oct 2021 - 11:42

23

Views

If a operator is closed then the operator coincides with the maximal and minimal operator?

Published on 31 Oct 2021 - 7:39

95

Views

All the solutions of the 2-dim PDE $-\Delta u=\lambda e^{u}$ with boundary conditions $u=0$ are like $\log \frac{8b}{(1+\lambda b r^{2})^2}$

Published on 24 Nov 2021 - 9:53

34

Views

Asymptotic of positive solution to elliptic equation

Published on 14 Dec 2021 - 6:30

240

Views

Elliptic PDE existence theorem for $f \in H^{-1}(\Omega)$

Published on 17 Jan 2022 - 22:19

List Question

Fréchet derivative of a (nonlinear) differential operator

Is the eigenfunction corresponding to the principal eigenvalue positive within $U$ when $a^{ij} \in L^\infty(U)$?

Convergence of solution of PDE as forcing term varies.

Finite difference approximation of elliptic operator: divergence form vs. non-divergence form

Help in the choice of the best coefficients to study the convergence of the finite element method for PDE

Are solutions to this PDE bounded uniformly in $\mathbb{R}^n$

Is Nehari manifold a topological manifold?

Euler operator is uniformly elliptic

Regularity of higher order elliptic problem on compact smooth manifolds with boundary

On a Riemannian manifold which is globally diffeomorphic to $\Bbb R^n$, can we write the Laplace-Beltrami in the prescribed form on the whole space?

Analytical solution to Laplace equation for comparison with FEM solution

If a operator is closed then the operator coincides with the maximal and minimal operator?

All the solutions of the 2-dim PDE $-\Delta u=\lambda e^{u}$ with boundary conditions $u=0$ are like $\log \frac{8b}{(1+\lambda b r^{2})^2}$

Asymptotic of positive solution to elliptic equation

Elliptic PDE existence theorem for $f \in H^{-1}(\Omega)$

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