Results 21 to 30 of about 76 (60)

Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Advances in Nonlinear Analysis, 2020
The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
doaj   +1 more source

Smoothness of solutions of a convolution equation of restricted type on the sphere

Forum of Mathematics, Sigma, 2021
Let $\mathbb {S}^{d-1}$ denote the unit sphere in Euclidean space $\mathbb {R}^d$, $d\geq 2$, equipped with surface measure $\sigma _{d-1}$. An instance of our main result concerns the regularity of solutions of the convolution equation $$\begin{align*}a\
Diogo Oliveira e Silva, René Quilodrán
doaj   +1 more source

Infinitely many periodic solutions for ordinary p-Laplacian systems

Advances in Nonlinear Analysis, 2015
Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj   +1 more source

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

Quasilinear equations with indefinite nonlinearity

Advances in Nonlinear Analysis, 2018
In this paper, we are concerned with quasilinear equations with indefinite nonlinearity and explore the existence of infinitely many solutions.
Zhao Junfang, Liu Xiangqing, Feng Zhaosheng   +2 more
doaj   +1 more source

Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations

Advances in Nonlinear Analysis
In this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
doaj   +1 more source

Construction of Solutions for Hénon-Type Equation with Critical Growth

Advanced Nonlinear Studies, 2021
We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
doaj   +1 more source

Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space

Advanced Nonlinear Studies, 2017
In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C1{C^{1}}-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u↦div⁡(∇⁡u1-|∇⁡u|2)
Gurban Daniela, Jebelean Petru, Şerban Călin   +2 more
doaj   +1 more source

Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Advanced Nonlinear Studies, 2021
We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
doaj   +1 more source

The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

Advanced Nonlinear Studies
The existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u)  inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
doaj   +1 more source