Determining coefficients for a fractional $p$-Laplace equation from exterior measurements

Boundary value problems for second-order elliptic equations (35J25) Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Harmonic analysis and PDEs (42B37)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Hitchhiker's guide to the fractional Sobolev spaces
A global uniqueness theorem for an inverse boundary value problem
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
On stationary thermo-rheological viscous flows
Stability of variational eigenvalues for the fractional $p$-Laplacian
Functional analysis, Sobolev spaces and partial differential equations
Duality relations for non-Ohmic composites, with applications to behavior near percolation
Superconductive and insulating inclusions for linear and non-linear conductivity equations
Fractional div-curl quantities and applications to nonlocal geometric equations
The macroscopic behavior of power-law and ideally plastic materials with elliptical distribution of porosity
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
The fractional Calderón problem: low regularity and stability
Size estimates for the weighted $p$-Laplace equation with one measurement
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Inverse problems for fractional semilinear elliptic equations
A non-local inverse problem with boundary response
The higher order fractional Calderón problem for linear local operators: uniqueness
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
The Calderón problem for the fractional Schrödinger equation with drift
Three representations of the fractional $p$-Laplacian: semigroup, extension and Balakrishnan formulas
Determining a fractional Helmholtz equation with unknown source and scattering potential
The Calderón problem for the fractional Schrödinger equation
On an inverse boundary value problem
Gap series constructions for the $p$-Laplacian
An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
The fractional $p$-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems
Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data
Inverse problems for p-Laplace type equations under monotonicity assumptions
Some three–dimensional problems related to dielectric breakdown and polycrystal plasticity
Convexity and Optimization in Banach Spaces
An Inverse Problem for the $p$-Laplacian: Boundary Determination
Calderón problem for the $p$-Laplacian: First order derivative of conductivity on the boundary
Determining conductivity by boundary measurements
Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
The Calderón problem for variable coefficients nonlocal elliptic operators
Monotonicity and Enclosure Methods for the $p$-Laplace Equation
Exponential instability in the fractional Calderón problem
On p-harmonic functions, convex duality and an asymptotic formula for injection mould filling
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I. Random microgeometry
Upper and lower bounds for the overall properties of a nonlinear composite dielectric. II. Periodic microgeometry
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability
The Calderón Problem for a Space-Time Fractional Parabolic Equation
Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability
Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials
Enclosure method for the p -Laplace equation
On Hele–Shaw flow of power-law fluids
Variational Methods
Inverse problems for the fractional-Laplacian with lower order non-local perturbations
Nonlocal equations in bounded domains: a survey
Fractional Calderón problems and Poincaré inequalities on unbounded domains
Stability Estimates for the Inverse Fractional Conductivity Problem
The Wiener criterion for nonlocal Dirichlet problems
Low regularity theory for the inverse fractional conductivity problem

This page was built for publication: Determining coefficients for a fractional $p$-Laplace equation from exterior measurements

Determining coefficients for a fractional \(p\)-Laplace equation from exterior measurements