a q - nonlinearity

Q-curvature Flow with Indefinite Nonlinearity

In this note, we study Q-curvature flow on S with indefinite nonlinearity. Our result is that the prescribed Q-curvature problem on S has a solution provided the prescribed Q-curvature f has its positive part, which possesses non-degenerate critical points such that ∆S4f 6= 0 at the saddle points and an extra condition such as a nontrivial degree counting condition. Mathematics Subject Classifi...

Correlation functions of quantum q-oscillators

Nonlinearity of electromagnetic field vibrations described by qoscillators is shown to produce essential dependence of second correlation functions on intensity and deformation of Planck distribution. Experimental tests of such nonlinearity are suggested. on leave from Lebedev Physical Institute, Moscow

A Fourth Order Nonlinear Elliptic Equation with Jumping Nonlinearity

We investigate the existence of solutions of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition A2u + CAU = bu+ + f in 0, where R is a bounded open set in Rn with smooth boundary and the nonlinearity bu+ crosses eigenvalues of A2 + CA. We also investigate a relation between multiplicity of solutions and source terms of the equation with the nonlinearit...

Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions

and Applied Analysis 3 Theorem 1.3 see 5 . There exists λ0 > 0 such that 1.4 admits exactly two solutions for λ ∈ 0, λ0 , exactly one solution for λ λ0, and no solution for λ > λ0. To proceed, wemake somemotivations of the present paper. Recently, in 6 the author has considered 1.2 with subcritical nonlinearity of concave-convex type, g ≡ 1, and f is a continuous function which changes sign in ...

Q–nonlinearity, Deformations and Planck Distribution