Mathematics Existence of solutions to nonlinear elliptic equations THE UNIVERSITY OF UTAH Klaus Schmitt NguyenLoc HoangThis dissertation is concerned with the existence of solutions to fully nonlinear elliptic equations of the form Au = Fu, where A is a differential operator acting on a subspace of ...
On the Nonuniqueness of Solutions to the Nonlinear Equations of Elasticity Theorydispersionelasticity theoryshock wavestructureviscosityOne-dimensional selfsimilar problems for waves in an elastic half-space generated by a sudden change of the boundary stress (the "piston" problem) and problems of ...
On a nonlinear hyperbolic variational equation I and II Arch. Rational Mech. Anal., 129 (1995), pp. 305-353 and 355–383 View in ScopusGoogle Scholar [10] S. Jiang, P. Zhang On the 3-D axi-symmetric solutions to the compressible Navier–Stokes equations J. Math. Pures Appl. (9),...
The obtained results indicate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable traveling wave solutions to nonlinear equations emerging in various branches of scientific, technological, and engineering domains. Similar content being viewed by others ...
Applying the mountain-pass theorem due to Ambrosetti and Rabinowitz (1973), we establish existence results for some nonlinear equations, namely Δ u + hu = f ( x , u ), x ∈ V . In particular, we prove that if h and f satisfy certain assumptions, then the above-mentioned equation ...
In this paper, a direct and unified algorithm for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDEs) is presented and implemented in a computer algebraic system. The key idea of this method is to take full advantage of a Riccati equation involving a ...
First of all, some technical tools are developed. Then the author studies explicit traveling wave solutions to nonlinear dispersive wave equations, nonline
This paper presents a new approach for finding exact solutions to certain classes of nonlinear partial differential equations (NLPDEs) by combining the variation of parameters method with classical techniques such as the method of characteristics. Our pr
研究点推荐 nonlinear Volterra integral equations Nontrivial solutions nonlinear volterra equation 站内活动 0关于我们 百度学术集成海量学术资源,融合人工智能、深度学习、大数据分析等技术,为科研工作者提供全面快捷的学术服务。在这里我们保持学习的态度,不忘初心,砥砺前行。了解更多>> ...
In this paper, we will consider the positive solutions to the following nonlinear singular three-point boundary value problems of Necessity of (1.4) in Theorem 1.1 By (1.3) and the condition g(b)