Results 11 to 20 of about 3,167,373 (248)

Normalized multi-bump solutions for saturable Schrödinger equations

Advances in Nonlinear Analysis, 2019
In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
doaj   +2 more sources

Normalized solutions for a fractional coupled critical Hartree system [PDF]

Electronic Journal of Qualitative Theory of Differential Equations
We consider the existence of normalized solutions for a fractional coupled Hartree system, with the upper critical exponent in the sense of the Hardy-Littelwood-Sobolev inequality.
Shengbing Deng, Wenshan Luo
doaj   +2 more sources

Normalized solutions for critical Schrödinger equations involving (2,q)-Laplacian [PDF]

Opuscula Mathematica
In this paper, we consider the following critical Schrödinger equation involving \((2,q)\)-Laplacian: \[\begin{cases} -\Delta u-\Delta_{q} u=\lambda u+\mu |u|^{\gamma-2}u+|u|^{2^*-2}u \quad\text{in }\mathbb{R}^N, \\ \int_{\mathbb{R}^N} |u|^{2}dx=a^2,\end{
Lulu Wei, Yueqiang Song
doaj   +4 more sources

Normalized solutions of fractional Kirchhoff equations: the defocusing case [PDF]

Electronic Journal of Differential Equations
In this article, we focus on the normalized solutions to the fractional  Kirchhoff equations with subcritical nonlinearities in the defocusing  case. By applying distinct suppositions to the coefficients of  nonlinearities, namely \(q < p\), we prove ...
Tianqing Zhang, Zhenyu Guo
doaj   +2 more sources

Normalized Solutions to a Choquard-Type Equation with Lower Critical Exponent and Nonlocal Perturbation

Axioms
This paper is concerned with normalized solutions to the Choquard-type equation involving the lower critical nonlocal term and another nonlocal nonlinear term. We establish the existence of normalized solutions in both the mass subcritical case p∈(N+βN,N+
Huiling Wu, Liping Wu
doaj   +2 more sources

Normalized concentrating solutions to nonlinear elliptic problems [PDF]

, 2021
We prove the existence of solutions (λ,v)∈R×H1(Ω) of the elliptic problem {−Δv+(V(x)+λ)v=vp in Ω,v>0,∫Ωv2dx=ρ. Any v solving such problem (for some λ) is called a normalized solution, where the normalization is settled in L2(Ω).
Pellacci B., Vaira G., Pistoia A., Verzini G.   +3 more
core   +2 more sources

Normalized ground state solutions for Kirchhoff equation with subcritical or critical perturbation [PDF]

Electronic Journal of Differential Equations
This article concerns the Kirchhoff equation with subcritical or critical perturbation. We establish the existence of normalized ground state solutions by using Pohozaev manifold and subcritical approximation methods.
Zian Fan
doaj   +2 more sources

Existence of solutions to a normalized F-infinity Laplacian equation

Electronic Journal of Differential Equations, 2014
In this article, for a continuous function F that is twice differentiable at a point $x_0$, we define the normalized F-infinity Laplacian $\Delta_{F; \infty}^N$ which is a generalization of the usual normalized infinity Laplacian. Then for a bounded
Hua Wang, Yijun He
doaj   +1 more source

An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations [PDF]

21 pagesWe develop a new approach to the investigation of normalized solutions for nonlinear Schrödinger equations based on the analysis of the masses of ground states of the corresponding action functional.
De Coster, Colette, Dovetta, Simone, Serra, Enrico, Galant, Damien   +3 more
core   +4 more sources

Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
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