Results 1 to 10 of about 966 (105)

Semilinear Dirichlet problem for subordinate spectral Laplacian [PDF]

Communications on Pure and Applied Analysis, 2022
We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian.
I. Biočić
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Asymptotic stability analysis of Riemann-Liouville fractional stochastic neutral differential equations [PDF]

Miskolc Mathematical Notes, 2021
The novelty of our paper is to establish results on asymptotic stability of mild solutions in pth moment to Riemann-Liouville fractional stochastic neutral differential equations (for short Riemann-Liouville FSNDEs) of order α ∈ ( 2 ,1) using a Banach’s ...
Arzu Ahmadova, N. Mahmudov
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Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

Advances in Nonlinear Analysis, 2022
In this paper we study the existence and the nonexistence of solutions to an inhomogeneous non-linear elliptic problem (P)−Δu+u=F(u)+κμ  in  RN, u>0  in  RN, u(x)→0  as  |x|→∞,- \Delta u + u = F(u) + \kappa \mu \quad {\kern 1pt} {\rm in}{\kern 1pt ...
Ishige Kazuhiro, Okabe Shinya, Sato Tokushi   +2 more
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Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs

Advances in Nonlinear Analysis, 2023
We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings W0s,p(Ω)↪Lq(Ω),{W}_{0}^{s,p}(\Omega )\hspace{0.33em}\hookrightarrow \hspace{0.33em}{L}^{q}(\Omega ), where N≥1N\ge 1 ...
Cassani Daniele, Du Lele
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Existence of positive ground states for some nonlinear Schrödinger systems

Boundary Value Problems, 2013
We prove the existence of positive ground states for the nonlinear Schrödinger system {−Δu+(1+a(x))u=Fu(u,v)+λv,−Δv+(1+b(x))v=Fv(u,v)+λu, where a, b are periodic or asymptotically periodic and F satisfies some superlinear conditions in (u,v). The proof
Hui Zhang, Junxiang Xu, Fubao Zhang
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Multiple solutions to multi-critical Schrödinger equations

Advanced Nonlinear Studies, 2022
In this article, we investigate the existence of multiple positive solutions to the following multi-critical Schrödinger equation: (0.1)−Δu+λV(x)u=μ∣u∣p−2u+∑i=1k(∣x∣−(N−αi)∗∣u∣2i∗)∣u∣2i∗−2uinRN,u∈H1(RN),\left\{\begin{array}{l}-\Delta u+\lambda V\left(x)u=
Xu Ziyi, Yang Jianfu
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Existence of multiple nontrivial solutions of the nonlinear Schrödinger-Korteweg-de Vries type system

Advances in Nonlinear Analysis, 2021
In this paper we are concerned with the existence, nonexistence and bifurcation of nontrivial solution of the nonlinear Schrödinger-Korteweg-de Vries type system(NLS-NLS-KdV).
Geng Qiuping, Wang Jun, Yang Jing
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Pseudo almost periodic weak solutions of a semilinear elliptic equation

Advances in Differential Equations, 2014
In this paper, pseudo almost periodic functions on RN, with N an integer larger than 1, are introduced and some basic properties of them are studied. As an application, we investigate the pseudo almost periodicity of a weak solution of the semilinear ...
Desheng Ji, Chuanyi Zhang
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Half-space Gaussian symmetrization: applications to semilinear elliptic problems

Advances in Nonlinear Analysis, 2021
We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure.
Díaz J. I., Feo F., Posteraro M. R.
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Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Advanced Nonlinear Studies, 2023
In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro, Okabe Shinya, Sato Tokushi   +2 more
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