Results 11 to 20 of about 984 (92)
Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger
Abstract and Applied AnalysisMSC2020 Classification: 35K05, 35K55, 35A15, 35A01, 35A02, and ...
Kouma Ali Ouattara +3 more
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Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 206-242, December 2021., 2021 Abstract In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non‐linearities on an unbounded domain, and show that such an equation with positive or sign‐changing weight potentials admits at least one positive ground state solution and the associated energy is positive (or negative).
Haining Fan, Zhaosheng Feng, Xingjie Yan
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Open Mathematics, 2022 In this article, we study a class of Kirchhoff-type equation driven by the variable s(x, ⋅)-order fractional p1(x, ⋅) & p2(x, ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of solutions in
Bu Weichun, An Tianqing, Zuo Jiabin
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Open Mathematics, 2022 In this article, we study two classes of Kirchhoff-type equations as follows: −a+b∫R3∣∇u∣2dxΔu+V(x)u=(Iα∗∣u∣p)∣u∣p−2u+f(u),inR3,u∈H1(R3),\left\{\begin{array}{l}-\left(a+b\underset{{{\mathbb{R}}}^{3}}{\overset{}{\int }}| \nabla u{| }^{2}{\rm{d}}x\right ...
Zhou Li, Zhu Chuanxi
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Bäcklund transformations for several cases of a type of generalized KdV equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3369-3377, 2004., 2004 An alternate generalized Korteweg‐de Vries system is studied here. A procedure for generating solutions is given. A theorem is presented, which is subsequently applied to this equation to obtain a type of Bäcklund transformation for several specific cases of the power of the derivative term appearing in the equation. In the process, several interesting,
Paul Bracken
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Variational approach to dynamics of bright solitons in lossy optical fibers
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3143-3148, 2003., 2003 A variational analysis of dynamics of soliton solution of coupled nonlinear Schrödinger equations with oscillating terms is made, considering a birefringent fiber with a third‐order nonlinearity in the anomalous dispersion frequency region. This theoretical model predicts optical soliton oscillations in lossy fibers.
M. F. Mahmood, S. Brooks
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Eigenfrequencies of generally restrained beams
Journal of Applied Mathematics, Volume 2003, Issue 10, Page 503-516, 2003., 2003 We deal with the exact determination of eigenfrequencies of a beam with intermediate elastic constraints and generally restrained ends. It is the purpose of this paper to use the calculus of variations to obtain the equations of motion and the natural boundary conditions, and particularly those at the intermediate constraints.
Ricardo Oscar Grossi +1 more
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Sign-Changing Solutions for a Class of Zero Mass Nonlocal Schrödinger Equations
Advanced Nonlinear Studies, 2019 We consider the following class of fractional Schrödinger equations:
Ambrosio Vincenzo +3 more
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Perturbations near resonance for the p‐Laplacian in ℝN
Abstract and Applied Analysis, Volume 7, Issue 6, Page 323-334, 2002., 2002 We study a multiplicity result for the perturbed p‐Laplacian equation −Δpu − λg(x)|u|p−2u = f(x, u) + h(x) in ℝN, where 1 < p < N and λ is near λ 1, the principal eigenvalue of the weighted eigenvalue problem −Δpu = λg(x)|u|p−2u in ℝN. Depending on which side λ is from λ 1, we prove the existence of one or three solutions.
To Fu Ma, Maurício Luciano Pelicer
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Lagrangian Approach to Dispersionless KdV Hierarchy [PDF]
, 2007 We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement of the so-called r-matrix ...
Choudhuri, Amitava +2 more
core +3 more sources