The spectrum of the mean curvature operator
Copyright policy )The spectrum of the mean curvature operator
AbstractWe show that the spectrum of the relativistic mean curvature operator on a bounded domain Ω ⊂ ℝN (N ⩾ 1) having smooth boundary, subject to the homogeneous Dirichlet boundary condition, is exactly the interval (λ1(2), ∞), where λ1(2) stands for the principal frequency of the Laplace operator in Ω.
- University of Craiova Romania
- University of Bucharest Romania
eigenvalue problems, Methods involving semicontinuity and convergence; relaxation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Variational inequalities, \(\Gamma\)-convergence, Quasilinear elliptic equations with \(p\)-Laplacian, \(p\)-Laplacian, variational inequalities, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), mean curvature operator
eigenvalue problems, Methods involving semicontinuity and convergence; relaxation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Variational inequalities, \(\Gamma\)-convergence, Quasilinear elliptic equations with \(p\)-Laplacian, \(p\)-Laplacian, variational inequalities, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), mean curvature operator
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