It turns out that p = 2 is a critical value for the existence of solutions.doi:10.1016/j.jfa.2006.04.005David RuizElsevier Inc.Journal of Functional AnalysisRuiz D.: The Schrödinger-Poissom equation under the effect of a nonlinear local term. J. Funct. Anal. 237 , 655–674 (2006) ...
We give existence and nonexistence results, depending on the parameters p and λ. It turns out that p = 2 is a critical value for the existence of solutions.关键词: Schrödinger–Poisson equation Variational methods Pohozaev equality Lagrange multiplier rule ...
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Section 2 also describes special cases of the nonlinear structural equation model including those that have been considered in the literature. Section 3 presents an estimation method for the general model which does not make strong distributional assumptions about the latent variables and can be ...
Active field theories, such as the paradigmatic model known as ‘active model B+’, are simple yet very powerful tools for describing phenomena such as motility-induced phase separation. No comparable theory has been derived yet for the underdamped case.
where the Lagrangian multiplier has been expressed as (1/μ) in order that the first conditions can be written as ∂u/∂x1 - μp1 = 0 ∂u/∂x2 - μp2 = 0 The differentiation of these equations with respect to p1 yields essentially the same first two equation as for the firs...
or the desire for holding money, is influenced by various factors. These factors can include interest rates, the level of economic activity, and inflation expectations. The quantity theory of money provides a framework for understanding how changes in the money supply can impact prices and economic...
Assignment for Part 2 in ME5701 ——Linear stability analysis of Mathieu equation—Due time: 23:59:59, Nov. 15th, 2024 This assignment will guide you to study the stability properties of the Mathieu equation. Please read throughcarefully the problem description below and understand the ...
In Section “Optical soliton solutions”, solitary wave solutions of the WBBM equation have been discovered by the strategy proposed. In Section “Classification of the soliton solutions”, two fractional derivatives have been utilized for comparative study. In Section “Comparative investigation with ...
For instance, the variation of the maximum As(V) sorption capacity of low and high energy surfaces calculated by using a two-surface Langmuir equation in 16 Chinese soils was 83% and 68%, respectively (Jiang et al., 2005b). Similarly, due to the effect of 0.5 mmol/L Fe(OH)3 ...