Results 21 to 30 of about 932 (91)
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition [PDF]
, 2016 We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition.
Francesconi, Mauro, Mugnai, Dimitri
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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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Abstract and Applied Analysis, Volume 7, Issue 10, Page 547-561, 2002., 2002 We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain; 2* = 2N/(N − 2), N ≥ 3, is the critical Sobolev exponent and f has a behavior like up, 1 < p < 2* − 1.
Marco A. S. Souto
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On a fractional Schrödinger-Poisson system with strong singularity
Open Mathematics, 2021 We investigate a fractional Schrödinger-Poisson system with strong singularity as follows: (−Δ)su+V(x)u+λϕu=f(x)u−γ,x∈R3,(−Δ)tϕ=u2,x∈R3,u>0,x∈R3,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+V\left(x)u+\lambda \phi u=f\left(x){u}^{-\gamma },& x\in ...
Yu Shengbin, Chen Jianqing
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Multiple solutions for a problem with resonance involving the p‐Laplacian
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 191-201, 1998., 1998 In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves +2 more
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N‐Laplacian equations in ℝN with critical growth
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 301-315, 1997., 1997 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
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Texture, Stress, and Microstructure, Volume 13, Issue 4, Page 243-260, 1991., 1990 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
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Lions-type theorem of the p-Laplacian and applications
Advances in Nonlinear Analysis, 2021 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
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On the existence of the solution of Burgers′ equation for n ≤ 4
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 645-650, 1990., 1990 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
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Advances in Nonlinear Analysis, 2021 In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
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