Sign-changing solutions of competition–diffusion elliptic systems and optimal partition problems

The letter was from a law firm in New York, and the attorney’s name was Thomas Campbell who was writing a letter on behalf of the artist Mary Ellen Carroll and it was

We want to open two specific areas of research that is formalization of the transfer process between business and software design models and the formalization of

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

First, we generalize the results of Serra and Tilli to a wider class of functions f by means of a new approach based on topological fixed point theory and invariance properties of

Vogel, Symmetry and regularity for general regions having solutions to certain overdetermined boundary value problems, Atti

In order to prove Theorem 1.1, we need to establish several properties of the solutions to (3) in the neighborhood of a bound state solution... We have

Vaugon, Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth, J.. Warner, Remarks on some quasilinear elliptic

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,