Results 41 to 50 of about 1,005 (120)
Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity
In the present paper, we prove the existence of the solutions (λ, u) ∈ ℝ × H1(ℝ3) to the following Kirchhoff equations with the Hartree-type nonlinearity under the general mass supercritical settings, {-(a+b∫ℝ3|∇u|2dx)Δu-λu=[Iα*(K(x)F(u))]K(x)f(u),u∈H1 ...
Yuan Shuai, Gao Yuning
doaj +1 more source
Higher-order Mechanics: Variational Principles and other topics [PDF]
After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism) for higher-order (non-autonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which allows us to derive the ...
A. Echeverría-Enríquez+24 more
core +3 more sources
N‐Laplacian equations in ℝN with critical growth
We study the existence of nontrivial solutions to the following problem: where a is a continuous function which is coercive, i.e., a(x) → ∞ as |x| → ∞ and the nonlinearity f behaves like exp(α|u|N/(N−1)) when |u| → ∞.
João Marcos B. do Ó
wiley +1 more source
Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
By applying the mountain pass theorem and symmetric mountain pass theorem in critical point theory, the existence of at least one or infinitely many homoclinic solutions is obtained for the following p-Laplacian system: ddt(|u˙(t)|p−2u˙(t))−a(t)|u(t)|q ...
Xiubo Shi, Qiongfen Zhang, Qi-Ming Zhang
semanticscholar +1 more source
Lions-type theorem of the p-Laplacian and applications
In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
doaj +1 more source
A series of experiments were made determining textural, microstructural, and mechanical properties in cold drawn, and spheroidization heat treated low‐C steel wires (AISI‐1018 and 1033 grades). It was found that texture exerted a significant influence on the mechanical properties, while microstructure had a comparable influence.
P. Gangli, J. A. Szpunar, Sugondo
wiley +1 more source
In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
doaj +1 more source
On the existence of the solution of Burgers′ equation for n ≤ 4
In this paper a proof of the existence of the solution of Burgers′ equation for n ≤ 4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers′ equation.
Adel N. Boules
wiley +1 more source
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
doaj +1 more source
A result of instability for two-temperatures Cosserat bodies
In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature.
Marin M., Vlase S., Fudulu I.M.
doaj +1 more source