Results 81 to 90 of about 1,671 (114)
On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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Regularity for critical fractional Choquard equation with singular potential and its applications
Advances in Nonlinear AnalysisWe study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
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Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
Advances in Nonlinear Analysis, 2016 We study the following nonlinear Choquard equation:
Alves Claudianor O. +2 more
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Advances in Nonlinear AnalysisIn this article, we consider the multiplicity of positive solutions for a static Schrödinger-Poisson-Slater equation of the type −Δu+u2∗1∣4πx∣u=μf(x)∣u∣p−2u+g(x)∣u∣4uinR3,-\Delta u+\left({u}^{2}\ast \frac{1}{| 4\pi x| }\right)u=\mu f\left(x){| u| }^{p-2 ...
Zheng Tian-Tian +2 more
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Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation
Advances in Nonlinear AnalysisThis study deals with the existence of nodal solutions for the following gauged nonlinear Schrödinger equation with zero mass: −Δu+hu2(∣x∣)∣x∣2+∫∣x∣+∞hu(s)su2(s)dsu=∣u∣p−2u,x∈R2,-\Delta u+\left(\frac{{h}_{u}^{2}\left(| x| )}{{| x| }^{2}}+\underset{| x| }{
Deng Yinbin, Liu Chenchen, Yang Xian
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Existence results for critical growth Kohn-Laplace equations with jumping nonlinearities
Demonstratio MathematicaThis article is concerned with the existence of nontrivial solutions to critical growth Kohn-Laplace equations with jumping nonlinearities. Or, more specifically, we consider the following Kohn-Laplace problem: −ΔHu=bu+−au−+∣u∣Q∗−2u,inΩ,u=0,on∂Ω,\left ...
An Yu-Cheng, Tian Guai-Qi, An Bi-Jun
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Asymmetric Robin Problems with Indefinite Potential and Concave Terms
Advanced Nonlinear Studies, 2019 We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically ...
Papageorgiou Nikolaos S. +2 more
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An elliptic problem involving critical Choquard and singular discontinuous nonlinearity
Advanced Nonlinear StudiesThe present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand +2 more
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An Improved Fountain Theorem and Its Application
Advanced Nonlinear Studies, 2017 The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with ...
Gu Long-Jiang, Zhou Huan-Song
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