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Publication:3794625
zbMath0649.35072MaRDI QIDQ3794625
Publication date: 1987
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1987_4_14_1_1_0
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first eigenvaluezero boundary datamaximizing the first eigenvalueminimizing the first eigenvalueweighted \(L^ p\)-ball
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)
Related Items (10)
On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting ⋮ Semilinear elliptic equations involving critical Sobolev exponents ⋮ Optimal potentials for quantum graphs ⋮ Concentration phenomena in nonlinear eigenvalue problems with variable exponents and sign-changing potential ⋮ Optimal potentials for Schrödinger operators ⋮ Periodic Potentials with Minimal Energy Bands ⋮ Extremal properties of the first eigenvalue of Schrödinger-type operators ⋮ Optimization of the characteristic values of Hill's equation subject to a p-norm constraint on the potential ⋮ Recovery of the nearest potential field from the \(m\) observed eigenvalues ⋮ Maximization of combinatorial Schrödinger operator's smallest eigenvalue with Dirichlet boundary condition
Cites Work
- Optimization and rearrangements of the coefficient in the operator \(d^ 2/dt^ 2-p(t)^ 2\) on a finite interval
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Hamiltonian operators with maximal eigenvalues
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Optimization and α-Disfocality for Ordinary Differential Equations
- Maximal and minimal eigenvalues and their associated nonlinear equations
- Elliptic Partial Differential Equations of Second Order
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