This book provides a comprehensive introduction to the mathematical theory of nonlinear
problems described by singular elliptic equations. There are carefully analyzed logistic type …

The following singular elliptic boundary value problem is studied:[Formula: see text] where
Ω⊂ RN (N⩾ 3) is a bounded domain with smooth boundary∂ Ω, 0< γ< 1 0 is a real …

An exact estimate result for a class of singular equations with critical exponents Page 1 Journal
of Functional Analysis 260 (2011) 1257–1284 www.elsevier.com/locate/jfa An exact estimate …

Publisher Summary Reaction-diffusion equations have played an important role in the study
of many different phenomena related with applications. These applications include, among …

We prove the existence of at least two positive weak solutions for mixed local-nonlocal
singular and critical semilinear elliptic problems in the spirit of [Haitao, 2003], extending the …

We establish global multiplicity results of solutions for the singular nonlinear problem* CA
Santos and J Zhou were supported by CAPES/Brazil Proc. N o 2788/2015-02; Minbo Yang …

We employ variational techniques to study the existence and multiplicity of positive solutions
of semilinear equations of the form− Δu= λh (x) H (u− a) uq+ u2*− 1 in RN, where λ, a> 0 are …

This paper provides a new fixed point theorem for increasing self-mappings G: B→ B of a
closed ball B⊂ X, where X is a Banach semilattice which is reflexive or has a weakly fully …

The purpose of this article is to prove the existence of solution to a nonlinear nonlocal elliptic
problem with a singularity and a discontinuous critical nonlinearity, which is given as (− Δ) …

This paper considers a class of degenerate quasilinear elliptic equations with discontinuous
nonlinearities. The existence of positive weak solutions and S-solutions is discussed using …