Results 41 to 50 of about 1,049 (122)
Advanced Nonlinear Studies, 2022 In this paper, we consider the following critical fractional magnetic Choquard equation: ε2s(−Δ)A∕εsu+V(x)u=εα−N∫RN∣u(y)∣2s,α∗∣x−y∣αdy∣u∣2s,α∗−2u+εα−N∫RNF(y,∣u(y)∣2)∣x−y∣αdyf(x,∣u∣2)uinRN,\begin{array}{rcl}{\varepsilon }^{2s}{\left(-\Delta )}_{A ...
Jin Zhen-Feng +2 more
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A variational principle for complex boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 315-318, 1988., 1988 This paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem and hence the expansion (trial) functions need not ...
Adnan Atef Hajj
wiley +1 more source
Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well
Advanced Nonlinear Studies, 2022 In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.
Chen Xiao-Ping, Tang Chun-Lei
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, 2019 In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations.
Ghassan A. Al-Juaifri +2 more
semanticscholar +1 more source
Existence of homoclinic solutions for a class of difference systems involving p-Laplacian
Advances in Differential Equations, 2014 By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ(|Δu(n−1)|p−2Δu(n−1))−a(n)|u(n)|q−pu(n)+∇W(n,u(n))=0 have at least one or infinitely many homoclinic ...
Qiongfen Zhang
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Cauchy-Type Problem for Diffusion-Wave Equation with the Riemann-Liouville Partial Derivative [PDF]
, 2005 2000 Mathematics Subject Classification: 35A15, 44A15, 26A33The paper is devoted to the study of the Cauchy-type problem for the differential equation [...] involving the Riemann-Liouville partial fractional derivative of order α > 0 [...] and the ...
Kilbas, Anatoly +2 more
core
Solutions for a fractional difference boundary value problem
, 2013 Using a variational approach and critical point theory, we investigate the existence of solutions for a fractional difference boundary value problem.MSC:26A33, 35A15, 39A12, 44A55.
Weisong Dong, Jiafa Xu, D. O’Regan
semanticscholar +1 more source
Some nonlinear second order equation modelling rocket motion [PDF]
, 2015 In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core
A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation
, 2014 In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators ...
Alves, Claudianor O. +1 more
core +1 more source
Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application
Journal of Mathematics, Volume 2025, Issue 1, 2025.We employ level‐set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2. Furthermore, we systematically prove the existence of ground state solutions to the associated nonlinear partial differential equation.
Yubo Ni, Agacik Zafer
wiley +1 more source