Results 31 to 40 of about 2,262 (104)
Local and global properties of p-Laplace Henon equation [PDF]
arXiv, 2022 We first give some apriori estimates of positive radial solutions of $p$-Laplace H\'enon equation. Then we study the local and global properties of those solutions. Finally, we generalize some radial results to the nonradial case.
arxiv
Existence and stability of fourth-order nonlinear plate problem
Nonautonomous Dynamical Systems, 2019 In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
doaj +1 more source
Global existence for time-dependent damped wave equations with nonlinear memory
Advances in Nonlinear Analysis, 2023 In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global existence are presented in the energy space H1(Rn)×L2(Rn){H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^
Kirane Mokhtar +3 more
doaj +1 more source
$\mathscr{E}'$ as an algebra by multiplicative convolution
, 2018 We study the algebra $\mathscr{E}'(\mathbb{R}^d)$ equipped with the multiplication $(T\star S)(f)=T_x(S_y(f(xy))$ where $xy=(x_1y_1,\dots,x_dy_d)$.
Vogt, Dietmar
core +1 more source
Two solutions for Dirichlet double phase problems with variable exponents
Advanced Nonlinear StudiesThis paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora +3 more
doaj +1 more source
Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
doaj +1 more source
Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
, 2017 In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
core +1 more source
Temporal periodic solutions of non-isentropic compressible Euler equations with geometric effects
Advances in Nonlinear AnalysisIn this article, we investigate the general qusi-one-dimensional nozzle flows governed by non-isentropic compressible Euler system. First, the steady states of the subsonic and supersonic flows are analyzed. Then, the existence, stability, and uniqueness
Fang Xixi, Ma Shuyue, Yu Huimin
doaj +1 more source
The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity
, 2019 We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Birindelli, Isabeau, Galise, Giulio
core +1 more source
Absence of global solutions to wave equations with structural damping and nonlinear memory
Demonstratio MathematicaWe prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar +2 more
doaj +1 more source