Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

Reaction-diffusion waves with nonlinear boundary conditions

A reaction-diffusion equation with nonlinear boundary condition is considered in a two-dimensional infinite strip. Existence of waves in the bistable case is proved by the Leray-Schauder method. 1. Formulation of the problem. Reaction-diffusion problems with nonlinear boundary conditions arise in various applications. In physiology, such problems describe in particular development of atheroscle...

Moving Boundary Problems with Nonlinear Diffusion

Positive solutions of nonlinear fourth order boundary value problems with local and nonlocal boundary conditions

We establish new existence results for multiple positive solutions of fourth order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many nonlocal boundary conditions, with a unified approach. Our method is to show that each boundary value problem can be written as the same type of pert...

Boundary Value Problems for Nonlinear Fractional Differential Equations and Inclusions with Nonlocal and Integral Boundary Conditions

In this paper, we study a class of boundary value problems of nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Some new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples are given to illustrate the results.

Problems with nonlinear boundary value conditions

The existence and multiplicity results are shown for certain types of problems with nonlinear boundary value conditions.