Source type positive solutions of nonlinear parabolic inequalities

The main result of our paper is Theorem 2 which ensures the existence and uniqueness of the solution (u, ν) of the obstacle problem for (1) using probabilistic method based on

The proof of (1.19) not being our main concern notwithstanding, we decided to include a less standard proof of tightness inspired also by the theory of stochastic partial

Instead of proving a removable singularity result, then using the maximum principle for the extended solutions, we take advantage of the local behaviour of solutions near the origin

SHATAH, The nonlinear Schrödinger Equation and the nonlinear heat Equation Reduction to normal Form, Comm. NIKOLENKO, Complete integrability of the nonlinear

Working exactly as in [7, Section 10], the forward in time Harnack inequality of Theorem 1.2 can be used to establish locally quantitative H¨older estimates for local, weak solutions

cerning the existence of critical points of I and applied them to semilinear elliptic boundary value problems to get existence theorems in that setting... The

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In this paper the continuity restrictions upon the coefficients will be removed in obtaining Ilolder continuity of the solution at the boundary for Ilolder