Global attractors for the \(p\)-Laplacian equations with nonregular data

DOI10.1016/j.jmaa.2012.03.025zbMath1247.35051OpenAlexW2070829949MaRDI QIDQ429267

Weisheng Niu, Cheng-Kui Zhong

Publication date: 19 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.025

zbMATH Keywords

global attractor\(p\)-Laplacian equationnonregular data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Long-time behavior of solutions for a fractional diffusion problem ⋮ Existence and upper semicontinuity of bi-spatial pullback attractors for smoothing cocycles ⋮ Asymptotic behaviour of nonlocal \(p\)-Laplacian reaction-diffusion problems ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ The global existence and attractor for \(p\)-Laplace equations in unbounded domains ⋮ Long-time behavior for a nonlinear parabolic problem with variable exponents ⋮ Asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions and irregular data ⋮ Asymptotic behavior of approximated solutions to parabolic equations with irregular data ⋮ Global attractors for \(p\)-Laplacian differential inclusions in unbounded domains ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Global attractors for \(p\)-Laplacian equation
• On global attractor for nonlinear parabolic equations of \(m\)-Laplacian type
• Asymptotic behavior of solutions for linear parabolic equations with general measure data
• Nonlinear elliptic and parabolic equations involving measure data
• Renormalized solutions of nonlinear parabolic equations with general measure data
• Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data
• Entropy subsolutions and supersolutions for nonlinear elliptic equations in \(L^1\)
• Asymptotic regularity for some dissipative equations
• Compact sets in the space \(L^ p(0,T;B)\)
• On a Fokker-Planck equation arising in population dynamics
• Infinite-dimensional dynamical systems in mechanics and physics.
• Nonlinear parabolic equations with measure data
• Existence results for nonlinear parabolic equations via strong convergence of truncations
• Regularity for entropy solutions of parabolic \(p\)-Laplacian type equations
• Parabolic capacity and soft measures for nonlinear equations
• Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• Semilinear parabolic equations involving measures and low regularity data
• The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity

This page was built for publication: Global attractors for the \(p\)-Laplacian equations with nonregular data