Compression effects in heterogeneous media

We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular..

We will often consider only dyadic dilations, defined by multi-indices I = (fi,.. — In Proposition 1.1 we assume that the measures u^ are supported on the unit cube. This is only

Starting from compressible Brinkman equations, where maximal packing is encoded in a singular pressure and a singular bulk viscosity, we show that the global weak solutions converge

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

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

variant of a result of De Lellis and Székelyhidi [11] (cf. Remark 3.2 below) and show the existence of infinitely many global-in-time 3 weak solutions to the problem (1.1)–(1.6) for

Gruendler, Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations, J. Gruendler, Homoclinic solutions and chaos in ordinary

This proof avoids altogether the difficult estimate [7, (1.32)], but uses instead the vector valued (i.e. valued in 2 ) version of the generalized T1 theorem that I developed in