Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N
Francisco Bernis · Communications in Partial Differential Equations · 1984
We prove that if 1<r<2 all Lr solutions of the equation have compact support for any dimension and any m≥1. No symmetry hypothese are made. We obtain essentially the same result for the multivalued equation corresponding to r=1. Considering the associated Dirichlet boundary value problem, we give explict estimates of the support in terms of the data of the problem . We also include generalizations to some other equations, for example