Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

We consider the singular boundary-value problem $\Delta u+ p (x){u^{-\gamma}}= 0$ in
$\Omega, u|\partial\Omega= 0$, where $\gamma> 0$. Under the assumption $ p (x)> 0$ and …

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 …

Here Ω is a bounded open subset of RN, N≥ 2, γ> 0 is a real number, f is either a
nonnegative function belonging to some Lebesgue space, or a nonnegative bounded …

INTRODUCTION Let us consider the following model problem where 0< a, 0< p, 0 4 X and
ne~~, 2$ N, is a bounded domain whose boundary is sufficiently smooth. By results of Fulks …

In this survey we provide an overview of nonlinear elliptic homogeneous boundary value
problems featuring singular zero-order terms with respect to the unknown variable whose …

The singular semilinear elliptic equation Δu+ p (x) f (u)= 0 is shown to have a unique positive
classical solution inRnthat decays to zero at∞ ifp (x) is simply a nontrivial nonnegative …

0 (). While following an approach due to Ambrosetti-Brezis-Cerami, we need to prove two
new results of separate interest: a strong comparison principle and a regularity result for …

Combined Effects of Singular and Superlinear Nonlinearities in Some Singular Boundary Value
Problems Page 1 511 ⁄ 0022-0396/01 $35.00 Copyright © 2001 by Academic Press All rights of …

We consider an anisotropic double phase problem with a reaction in which we have the
competing effects of a parametric singular term and a superlinear perturbation. We prove a …