We generalize previous uniqueness results on a semilinear elliptic equation with zero Dirichlet boundary condition and superlinear, subcritical nonlinearity. Our proof is based on a bifurcation approach and a Pohozaev type integral identity, which greatly simplifies the previous arguments.

We obtain the existence and uniqueness of solutions for a class of retarded parabolic equations with superlinear perturbations. The asymptotic behavior result is studied by using the pullback attractor framework.

The stabilized version of the sequential quadratic programming algorithm (sSQP) had been developed in order to achieve fast convergence despite possible degeneracy of constraints of optimization problems, when the Lagrange multipliers associated to a solution are not unique. Superlinear convergence of sSQP had been previously established under the strong second-order sufficient condition for op...

It is known that the Zn doping profile in strained multi-quantumwell (MQW) InGaAsP lasers strongly affects the electro-optical characteristics of these devices and their temperature sensitivity. A systematic investigation of the excitation dependence of the active layer photoluminescence (PL) intensity from compressively strained InGaAsP MQW pin laser material with different Zn doping profiles ...

We revisit the selection problem, namely that of computing the ith order statistic of n given elements, in particular the classical deterministic algorithm by grouping and partition due to Blum, Floyd, Pratt, Rivest, and Tarjan (1973). While the original algorithm uses groups of odd size at least 5 and runs in linear time, it has been perpetuated in the literature that using groups of 3 or 4 wi...

In the Newton/log-barriermethod,Newton steps are taken for the log-barrier function for a xed value of the barrier parameter until a certain convergence criterion is satis ed. The barrier parameter is then decreased and the Newton process is repeated. A naive analysis indicates that Newton's method does not exhibit superlinear convergence to the minimizer of each instance of the log-barrier fun...

We consider the solution of «-by-« Toeplitz systems T„x = b by preconditioned conjugate gradient methods. The preconditioner Cn is the T. Chan circulant preconditioner, which is defined to be the circulant matrix that minimizes \\B„ T„\\f over all circulant matrices B„ . For Toeplitz matrices generated by positive In -periodic continuous functions, we have shown earlier that the spectrum of the...

We revisit the selection problem, namely that of computing the ith order statistic of n given elements, in particular the classical deterministic algorithm by grouping and partition due to Blum, Floyd, Pratt, Rivest, and Tarjan (1973). While the original algorithm uses groups of odd size at least 5 and runs in linear time, it has been perpetuated in the literature that using groups of 3 or 4 wi...

In this paper, we investigate the existence of infinitely many solutions for a class of biharmonic equations where the nonlinearity involves a combination of superlinear and asymptotically linear terms. The solutions are obtained from a variant version of Fountain Theorem.