Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities
type: Item
instance of: scholarly article
title: Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities
zbMATH Open document ID: 1471.35204
author: Rahmoune Abita
published in: Acta Mathematica Vietnamica
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 7384636
zbMATH Keywords: weakly damped wave equations
zbMATH Keywords: viscoelasticity
zbMATH Keywords: Lebesgue and Sobolev spaces with variable exponents
MaRDI profile type: Publication
full work available at URL: s40306-021-00420-7
OpenAlex ID: W3160485766
cites work: New diffusion models in image processing
cites work: On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
cites work: Variational inequality for a nonlinear model of the oscillations of beams
cites work: Young measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-up
cites work: Wave equation with \(p(x,t)\)-Laplacian and damping term: existence and blow-up
cites work: Q5188488
cites work: Blow-up of solutions to parabolic equations with nonstandard growth conditions
cites work: Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
cites work: Global nonexistence for nonlinear Kirchhoff systems
cites work: Q4804262
cites work: Approximations of Solutions to Second Order Semilinear Integrodifferential Equations
cites work: Approximation of solutions to evolution integrodifferential equations
cites work: Faedo-Galerkin approximate solutions for stochastic semilinear integrodifferential equations
cites work: Nonlinear initial-boundary value problems
cites work: Approximations of solutions for a Sobolev type fractional order differential equation
cites work: Existence, uniqueness and approximation of solution for the fractional semilinear integro-differential equation
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: On global solvability of non‐linear viscoelastic equations in the analytic category
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
cites work: Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
cites work: The existence of solutions for elliptic systems with nonuniform growth
cites work: Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents
cites work: Weak solutions for a high-order pseudo-parabolic equation with variable exponents
cites work: Blow-up theorems for nonlinear wave equations
cites work: Q4987762
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Q3488543
cites work: Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
cites work: Q4021390
cites work: Approximations of solutions to a retarded type fractional differential equation with a deviated argument
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Global nonexistence theorems for quasilinear evolution equations with dissipation
cites work: Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
cites work: Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
cites work: Bounds for blow-up time to a viscoelastic hyperbolic equation of Kirchhoff type with variable sources
cites work: Q5890172
cites work: Global nonexistence for nonlinear Kirchhoff systems with memory term
cites work: On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
cites work: Approximation of solutions to evolution equations
cites work: Q4299985
cites work: On a global solution of some quasilinear hyperbolic equation
cites work: Q3202567
cites work: Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
cites work: On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
cites work: Global existence and non-existence theorems for nonlinear wave equations
cites work: Global nonexistence for abstract evolution equations with positive initial energy
cites work: On the existence, uniqueness and stability of solutions for semi-linear generalized elasticity equation with general damping term
cites work: Semilinear hyperbolic boundary value problem associated to the nonlinear generalized viscoelastic equations
cites work: Existence and asymptotic stability for the semilinear wave equation with variable-exponent nonlinearities
cites work: Q3225341
cites work: Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
cites work: Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
cites work: On a quasilinear wave equation with memory
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: On global existence and blow-up of solutions for an integro-differential equation with strong damping
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)

Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities (cites work)
cites work: Q2954159

Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities (DOI)
DOI: 10.1007/S40306-021-00420-7