Results 21 to 30 of about 772 (98)
Existence and multiplicity of solutions for a class of p-Kirchhoff-type equation RN
Open Mathematics, 2023 This article shows the existence and multiplicity of solutions for the following pp-Kirchhoff-type equation: a+b∫RN(∣∇u∣p+V(x)∣u∣p)dx(−△pu+V(x)∣u∣p−2u)=λg(x)∣u∣r−2u−h(x)∣u∣q−2u,inRN.\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}\left({| \nabla u| }^{
Chen Lijuan +2 more
doaj +1 more source
Veterinary Dermatology, Volume 27, Issue 6, Page 478-e129, December 2016., 2016 Background – Pruritus is the hallmark clinical sign of atopic dermatitis (AD) in dogs. Lokivetmab, a caninized anti‐canine IL‐31 monoclonal antibody, reduced pruritus and associated inflammatory skin lesions in a proof of concept study in dogs with AD.
Gina M. Michels +7 more
wiley +1 more source
Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth
Advances in Nonlinear Analysis, 2023 In this article, we study the following system: −Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+∣u∣4u,inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=\lambda f\left(u)+| u{| }^{4}u,& \hspace{0.1em}\text{in}\hspace{0.1em ...
He Chuan-Min, Li Lin, Chen Shang-Jie
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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
wiley +1 more source
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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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
wiley +1 more source
The Douglas formula in $L^p$ [PDF]
Nonlinear Differ. Equ. Appl. 30, 55 (2023), 2022 We prove a Douglas-type identity in $L^p$ for $1
arxiv +1 more source
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
wiley +1 more source
Advances in Nonlinear Analysis, 2019 This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi +2 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
wiley +1 more source