We study the behaviour of the nonlinear criticalp-heat equation (and the related stationaryp-
laplacian equation)[formula] where− Δpu≡− div (|∇ u| p− 2∇ u), f (x)⩾ 0 verifying …

In analysing nonlinear phenomena many mathematical models give rise to problems for
which only nonnegative solutions make sense. In the last few years this discipline has grown …

Let us consider the so-called one-dimensional p-Laplacian operator (, p (u $)) $, where p> 1
and, p: R ÄR is given by, p (s)=| s| p&2 s for s {0 and, p (0)= 0. Various separated two-point …

We prove that appropriate combinations of superlinearity and sublinearity of f (u) with
respect to Φ at zero and infinity guarantee the existence, multiplicity, and nonexistence of …

We deal with the Dirichlet, Neumann and periodic eigenvalue problems for the
equation\quad (| u'|^ p-2 u')'+ λ| u|^ q-2 u= 0,\quad on~~(0, T), where T>0, λ>0, and p,q>1 …

W versus C local minimizers and multiplicity results for quasilinear elliptic equations Page 1 J.
Math. Anal. Appl. 286 (2003) 32–50 www.elsevier.com/locate/jmaa W 1,p versus C 1 local …

In the last century many problems which arose in the science, engineer ing and technology
literature involved nonlinear complex phenomena. In many situations these natural …

The book presents a systematic and compact treatment of the qualitative theory of half-linear
differential equations. It contains the most updated and comprehensive material and …

In this work we study the existence of a solution for the problem− Δ pu= f (u)+ t Φ (x)+ h (x),
with homogeneous Dirichlet boundary conditions. Here the nonlinear term f (u) is a so-called …

A strong comparison principle (SCP, for brevity) is obtained for nonnegative weak solutions
u∈W_0^1,p(Ω) of the following class of quasilinear elliptic boundary value problems,-div (\bf …