This paper deals with the second-order nonlinear differential equation (a (t)| x′| p (t)− 2
x′)′= b (t)| x| q (t)− 2 x involving p (t)-Laplacian. The existence and the uniqueness of …

We prove a global weighted Lorentz estimate of the spatial gradients of weak solution to the
Cauchy–Dirichlet problem for asymptotically regular parabolic equations of p (x, t)-Laplacian …

We devote this paper to the proof of a regularity result for the solutions of asymptotically
regular elliptic equations with (p (x), q (x)) (p(x),q(x))‐growth. By approximating the solutions …

This paper deals with the nonoscillatory (eventually positive) solutions of second order
quasilinear differential equations with variable exponents of nonlinearity. We classify the set …

We study asymptotically regular elliptic equations with L p (x)-logarithmic growth under the
assumptions that the variable exponent satisfies strong log-Hölder continuity and the …

In this thesis, we study non-uniformly elliptic and parabolic problems. We first consider
asymptotically regular problems and establish global Calderón-Zygmund theory for the …