Fractional eigenvalues
Copyright policy )Fractional eigenvalues
We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour. Keywords: eigenvalue, non-local equation, non-linear equation
Mathematics - Analysis of PDEs, fractional Rayleigh quotient, eigenvalues, nonlocal Euler-Lagrange equation, FOS: Mathematics, eigenfunctions, 35J60, 35P30, 35R11, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Nonlinear elliptic equations, Fractional partial differential equations, Analysis of PDEs (math.AP)
Mathematics - Analysis of PDEs, fractional Rayleigh quotient, eigenvalues, nonlocal Euler-Lagrange equation, FOS: Mathematics, eigenfunctions, 35J60, 35P30, 35R11, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Nonlinear elliptic equations, Fractional partial differential equations, Analysis of PDEs (math.AP)
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