On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin
DOI10.1007/s40840-023-01622-yOpenAlexW4389430218MaRDI QIDQ6186323
Publication date: 9 January 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-023-01622-y
a priori estimatesunbounded domainbounded variationvariational methodapproximation techniqueweighted 1-LaplacianAnzelotti's pairing theory
A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Functions of bounded variation, generalizations (26A45) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic equations involving the 1-Laplacian and a subcritical source term
- Anisotropic \(p,q\)-Laplacian equations when \(p\) goes to 1
- On the solutions to 1-Laplacian equation with \(L^1\) data
- Pairings between measures and bounded functions and compensated compactness
- Divergence-measure fields and hyperbolic conservation laws
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- Parabolic quasilinear equations minimizing linear growth functionals
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Existence theorems for equations involving the 1-Laplacian: first eigenvalues for \(-\Delta_1\)
- Strauss' and Lions' type results in \(BV(\mathbb R^N)\) with an application to an 1-Laplacian problem
- Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials
- Anzellotti's pairing theory and the Gauss-Green theorem
- An extension of the pairing theory between divergence-measure fields and BV functions
- Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
- On the variational principle
- Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
- The Dirichlet problem for singular elliptic equations with general nonlinearities
- Sub-supersolution method for a quasilinear elliptic problem involving the 1-Laplacian operator and a gradient term
- Pairings between bounded divergence-measure vector fields and BV functions
- Existence of a radial solution to a 1-Laplacian problem in \(\mathbb{R}^N\)
- Anisotropic 1-Laplacian problems with unbounded weights
- Variational Analysis in Sobolev andBVSpaces
- Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
- Strong maximum principles for supersolutions of quasilinear elliptic equations
- The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow
- The Dirichlet problem for the 1-Laplacian with a general singular term and L 1-data
- 1-Laplacian type problems with strongly singular nonlinearities and gradient terms
- Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods
- Elliptic problems involving the 1–Laplacian and a singular lower order term
- Variable Exponent, Linear Growth Functionals in Image Restoration
- The Dirichlet problem for the total variation flow
- Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator
- On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity
- On 1-Laplacian elliptic problems involving a singular term and an \(L^1\)-data
This page was built for publication: On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin
