Asymptotic stability for Kirchhoff systems in variable exponent Sobolev spaces

DOI10.1080/17476931003786691zbMath1230.35018OpenAlexW1972485344MaRDI QIDQ3093066

Patrizia Pucci, Giuseppina Autuori

Publication date: 12 October 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476931003786691

zbMATH Keywords

variable exponent Sobolev spacesdissipative anisotropic \(p(x)\)-Kirchhoff systemsstrongly nonlinear potential energiestime-dependent nonlinear damping forceslocal and global asymptotic stabilities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Degenerate hyperbolic equations (35L80)

Related Items (17)

Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator ⋮ On a fractional degenerate Kirchhoff-type problem ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ Combined effects for non-autonomous singular biharmonic problems ⋮ Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources ⋮ Approximate solution of the backward problem for Kirchhoff's model of parabolic type with discrete random noise ⋮ On the diffusion \(p(x)\)-Laplacian with logarithmic nonlinearity ⋮ Stability of vibrations for some Kirchhoff equation with dissipation. ⋮ Existence of solution for a class of heat equation involving the \(p(x)\) Laplacian with triple regime ⋮ Local asymptotic stability for polyharmonic Kirchhoff systems† ⋮ Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type ⋮ Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent ⋮ Anisotropic nonlocal problem with discontinuous nonlinearities ⋮ Editorial. Progress in nonlinear Kirchhoff problems ⋮ Multiple solutions for ap(x)-Kirchhoff-type equation with sign-changing nonlinearities ⋮ Unnamed Item ⋮ Exponential stability for the wave equation with degenerate nonlocal weak damping

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