Results 21 to 30 of about 277 (57)

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
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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
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The Inviscid, Compressible and Rotational, 2D Isotropic Burgers and Pressureless Euler-Coriolis Fluids; Solvable models with illustrations

, 2014
The coupling between dilatation and vorticity, two coexisting and fundamental processes in fluid dynamics is investigated here, in the simplest cases of inviscid 2D isotropic Burgers and pressureless Euler-Coriolis fluids respectively modeled by single ...
Choquard, Philippe, Vuffray, Marc
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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
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On fractional logarithmic Schrödinger equations

Advanced Nonlinear Studies, 2022
We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
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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
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Asymptotic properties of critical points for subcritical Trudinger-Moser functional

Advanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
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On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

Advances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas, Guiro Aboudramane, Nyanquini Ismael   +2 more
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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
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Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition [PDF]

, 2014
We prove the existence of a positive solution for a class of nonlin- ear elliptic systems with Neumann boundary conditions. The proof combines extensive use of a priori estimates for elliptic problems with Neumann boundary condition and Krasnoselskii ...
Cardeño, Juan C., Castro, Alfonso
core   +1 more source