Results 21 to 30 of about 2,995 (267)
Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]
Annales Henri Poincaré, 2011 From the abstract: ``We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., \((p-1)\)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is \((p-1)\)-linear and \((p-1)\)-superlinear near \(+\infty\).
Gasiński, Leszek +1 more
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On Differential Equations Derived from the Pseudospherical Surfaces
Abstract and Applied Analysis, 2014 We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar σ = −2, σ = −1 ...
Hongwei Yang, Xiangrong Wang, Baoshu Yin
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Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation
Results in Physics, 2019 Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti +2 more
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Elliptic Equations with Weight and Combined Nonlinearities
Advanced Nonlinear Studies, 2016 Abstract We consider the equation -
Furtado, Marcelo F. +2 more
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Journal of Taibah University for Science, 2019 In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot +4 more
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The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation
Results in Physics, 2022 In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber.
Cheng’ao Li, Junliang Lu
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ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS [PDF]
International Journal of Bifurcation and Chaos, 2000 In this paper, we compute and visualize solutions of several major types of semilinear elliptic boundary value problems with a homogeneous Dirichlet boundary condition in 2D. We present the mountain–pass algorithm (MPA), the scaling iterative algorithm (SIA), the monotone iteration and the direct iteration algorithms (MIA and DIA). Semilinear elliptic
Goong Chen, Jianxin Zhou, Wei-Ming Ni
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider nonlinear elliptic system of type \begin{equation*} -D_{\alpha}A_{i}^{\alpha}(x,Du)=D_{\alpha}f_{i}^{\alpha} \end{equation*} and give conditions guaranteeing $C^{1,\gamma}$ interior regularity of weak solutions.
Josef Daněček, Jana Stará
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Quasilinear Elliptic Equations with Singular Nonlinearity
Advanced Nonlinear Studies, 2016 Abstract In this paper, motivated by recent works on the study of the equations which model electrostatic MEMS devices, we study the quasilinear elliptic equation (Pλ) {
João Marcos do Ó, Esteban da Silva
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Radially Symmetric Solutions of a Nonlinear Elliptic Equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of w′′ + ((N − 1)/r)w′−|w|p−1w = 0, r > 0. We focus on the parameter regime N > 2 and 1 < p < N/(N − 2) where the equation has the closed form, positive singular solution w1 = (4 − 2(N − 2)(p − 1)/(p − 1) 2) 1/(p−1)r−2/(p−1), r > 0 ...
Edward P. Krisner, William C. Troy
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