A class of nonlinear conservative elliptic equations in cylinders

19 Key words: Fractional Laplacian, Dirac measure, Isolated singularity, Weak solu- tion, Weakly singular solution, Strongly singular solution.. MSC2010: 35R11,

Our results are based upon a priori estimates of solutions of (E) and existence, non-existence and uniqueness results for solutions of some nonlinear elliptic equations on

Abstract Let g be a locally Lipschitz continuous real valued function which satisfies the Keller- Osserman condition and is convex at infinity, then any large solution of −∆u + g(u) =

Veron, Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Veron, Existence and uniqueness results for

This paper indeed contains new Liouville type results of independent interest for the solutions of some elliptic equations in half-spaces R N−1 × (0, +∞) with homogeneous

In particular we present an asymptotic functional equa- tion for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution

«Symmetry properties and isolated singularities of positive solutions of nonlinear elliptic equations.».. Nonlinear Differential Equations in Engineering and

Specifically, we prove in this paper that any nonnegative solution u of (1.1), (1.2) has to be even in x 1 and, if u ≡ 0 and u is not strictly positive in Ω , the nodal set of u