Existence and asymptotic stability for generalized elasticity equation with variable exponent

Asymptotic behavior of solutions to PDEs (35B40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Existence theorems for a class of problems in nonlinear elasticity
Lebesgue and Sobolev spaces with variable exponents
Thermo-visco-elasticity for Norton-Hoff-type models
Electrorheological fluids: modeling and mathematical theory
On the existence, uniqueness and stability of solutions for semi-linear generalized elasticity equation with general damping term
Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity
On the density of smooth functions in Sobolev-Orlicz spaces
Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up
Nonlinear Problems with p(·)-Growth Conditions and Applications to Antiplane Contact Models
Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary
On weak solutions for an evolution equation with exponential nonlinearities
Existence of solutions for anisotropic quasilinear elliptic equations with variable exponent
Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent
Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities
Reaction-diffusion coupled inclusions with variable exponents and large diffusion
Partial Differential Equations with Variable Exponents
A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
Variable Exponent, Linear Growth Functionals in Image Restoration
Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)