Spectral properties of a Schrödinger equation with a class of complex potentials and a general boundary condition

In this paper we investigate the spectrum and the spectral singularities of an operator L generalized in by the differential expression

     

Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations

For dimensions 3?n?6, we derive here the Harnack type inequality

     

Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation

Let Ω be a smooth bounded domain in , with N?5, a>0, α?0 and . We show that the exponent plays a critical role regarding the existence of least energy (or ground state) solutions of the Neumann problem

     

On a generalization of Mittag-Leffler function and its properties

Let s and z be complex variables, Γ(s) the Gamma function, and for any complex ν the generalized Pochhammer symbol. The principal aim of the paper is to investigate the function

     

Spectral estimates of least energy solutions to the Brezis-Nirenberg problem with a variable coefficient

Let uε be a least energy solution to the Brezis-Nirenberg problem:

     

Characterization of quadratic mappings through a functional inequality

We provide conditions under which every solution (f,?) of the functional inequality

     

Blowup rate of solutions for a semilinear heat equation with the Neumann boundary condition

Let p>1 and Ω be a smoothly bounded domain in . This paper is concerned with a Cauchy-Neumann problem

     

Global branch from the second eigenvalue for a semilinear Neumann problem in a ball

Let (n?3) be a ball, and let f∈C³. We are concerned with the Neumann problem

     

Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure

Let D⊂Rd be a bounded domain and let