Eigenvalues of the p-Laplacian in fractal strings with indefinite weights
Copyright policy )Eigenvalues of the p-Laplacian in fractal strings with indefinite weights
The asymptotic behavior of the spectral counting function is studied for the boundary value problem \[ -(\psi_p(u'))'=\lambda r(x)\psi_p(u),\; x\in\Omega, \] with Dirichlet boundary conditions, where \(\Omega\) is a bounded open set in \({\mathbb R}\), \(p>1\), \(\lambda\) is a real spectral parameter, \(\psi_p(s)=| s| ^{p-2}s\), and the weight \(r\) is a given bounded function which may change sign.
- University of Buenos Aires Argentina
- National University of General Sarmiento Argentina
- Universidid De Buenos Aires Argentina
Nonlinear boundary value problems for ordinary differential equations, Applied Mathematics, p-Laplacian, General theory of ordinary differential operators, Eigenvalues, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, asymptotics, spectral counting function, Asymptotic, Boundary eigenvalue problems for ordinary differential equations, nonlinear boundary value problem, Analysis
Nonlinear boundary value problems for ordinary differential equations, Applied Mathematics, p-Laplacian, General theory of ordinary differential operators, Eigenvalues, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, asymptotics, spectral counting function, Asymptotic, Boundary eigenvalue problems for ordinary differential equations, nonlinear boundary value problem, Analysis
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