Furthermore, we prove the local uniqueness of the multi-peak solutions. And our results show that the concentration of the solutions to above problem is delicate whether s = 1 s = 1 or s > 1 s > 1. Correction: "Technology Foundation of Guizhou Province" is corrected to "The Sci...
Derive an equation for the concentration of organic mattertif the decomposition ofAis given by the differential equationdCAdt=-kCA,whereCA=concentration ofAat any timet;k=specific decay rate constant. Initial conditions: att,CACA0 ...
We prove the existence of ground state solution by using variational methods, and we determine a concrete set related to the potentials V and K as the concentration position of these ground state solutions as ε→0. Moreover, we consider some properties of these ground state solutions, such ...
This method of construction depends on the existence, uniqueness and non-degeneracy up to translations of the positive solution of the limiting equation (1.6), which is a difficult problem that has only been fully solved in the case when N = 3, μ = 1 and G(u) = |u|2. Moroz and Va...
Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity In this paper we use a concentration and compactness argument to prove the existence of a nontrivial non-radial solution to the nonlinear Schrdinger–Poiss... A Azzollini - 《Journal of Differential Equ...
We prove the existence of a nontrivial solution for the problem {−Δnu+|u|n−2u=∫(x,u)un−2inRnu∈W1,n(Rn) wheref(x, t) =o(t) ast→ 0 and ¦f(x, t)¦ ≤C exp(αn¦t¦n/(n-1)) for some constantC > 0 and for allx∈ℝ;t∈ℝ with αn =nω 1...
The meaning of HENDERSON-HASSELBALCH EQUATION is an equation that equates the pH of a buffered solution (as the blood) to the sum of the cologarithm (p) of the dissociation constant (K) of the acid in the buffer and the logarithm of the ratio of the conc
On the upstream boundary, there is a discontinuous pressure gradient which is equilibrated by a stepwise increase in concentration of the liquid phase [1,6,7]. In [8,9], boundary conditions are proposed for Reynolds equation, which take into account the surface tension of the fluid at film ...
where Ce is the equilibrium concentration of arsenic in solution (mg/L or mmol/L), qe is the amount of arsenic sorbed by soil (mg/kg or mmol/kg) at equilibrium, qm is the maximum adsorption capacity (mg/kg or mmol/kg), KL is the Langmuir isotherm constant (L/mg or L/mmol). The...
We present some results on the blow-up phenomenon for the Schroedinger equation in dimension three with a nonlinear term supported in a fixed point. We find sufficient conditions for the blow up exploiting the moment of inertia of the solution and the uncertainty principle. In the critical case...