Geometry of phase space and solutions of semilinear elliptic equations in a ball

Moreover we present some examples which show that P (ε, Ω) may have k-spike solutions of this type also when Ω is a contractible domain, not necessarily close to domains with

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

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

V´eron The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption, Comm. V´eron, The precise boundary trace of

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) =

Abstract We study existence and stability for solutions of −Lu + g(x, u) = ω where L is a second order elliptic operator, g a Caratheodory function and ω a measure in Ω.. We present

However one can establish a partial result, namely, the existence of a minimal solution of the equation which is also a supersolution of the boundary value problem, (see Theorem

In the general case, assuming that Ω possesses a tangent cone at every boundary point and q is subcritical, we prove an existence and uniqueness result for positive solutions