Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique

Key words: Nonlinear system, Fractional derivative, Integral equations, Blow up time, Laplace transform.. 2010 MSC: 26A33,

We relate general symmetric ideals to the so called Specht ideals generated by all Specht polynomials of a given shape.. We show a connection between the leading monomials

It is also very useful when we make a systematic analysis of the gradients of solutions of nonlinear elliptic and parabolic problems near the boundary of the irregular domain which

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

maximum principle for second order elliptic operators in general domains, Comm. KAMIN, Sublinear elliptic equations in RN, Man. DAMASCELLI, A remark on the uniqueness

Annales de l’Institut Henri Poincaré - Physique theorique.. 269 SPHERICALLY SYMMETRIC SOLUTIONS OF EINSTEIN’S EQUATIONS. vi)

As a consequence, the local regularity of solutions to elliptic equations and for their gradient in arbitrary rearrangement invariant spaces is reduced to one-dimensional

V´eron, The precise boundary trace of positive solutions of the equation ∆u = u q in the supercritical case, Perspectives in non- linear partial differential equations,