On a superlinear elliptic equation

In order to avoid concentration phenomena near points and to overcome some difficulties related to the lack of compactness, we first modify the nonlinear term in a suitable region,

We study the problem of the existence and nonexistence of positive solutions to the superlinear second-order divergence type elliptic equation with measurable coefficients −∇ · a ·

be non-generic) due to the fact that they correspond to a heteroclinic orbit lying simultaneously on the two-dimensional unstable manifold above mentioned and the

- We prove here the existence of a positive solution, under general conditions, for semilinear elliptic equations in unbounded domains with a variational structure..

LIONS, On Positive Solution of Semilinear Elliptic Equation in Unbounded Domains, In Nonlinear Diffusion Equations and Their Equilibrium States, Springer,. New York,

Since the regularity of the solution depends on the geometry of operator, the main analytic tools of the classical ones, such as the maximal function and the covering lemma, can not

The first theorem, Theorem 2.1, is a Harnack inequality for the level sets, the second is an improvement of flatness (Theorem 2.2) and the third theorem gives the equation for

CAO, Positive solutions and bifurcation from the essential spectrum of a semilinear elliptic equation in Rn, Nonlinear Anal. CAO, Multiple solutions of a