Related papers: On continuous solutions of a problem of R.Schillin…

The paper deals with locally bounded solutions of a Schilling's problem.

We provide infinitely many solutions of a Dirichlet problem on balls.

The paper concerns singular solutions of nonlinear elliptic equations.

We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.

In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].

We give necessary and sufficient existence criteria, and methods for finding, continuous solutions of linear equations whose coefficients are polynomials.

The method of solving of nonlinear Schr\"odinger equation is considered. Some examples of its applications are demonstrated.

This paper is a continuation of our recent work in [9].

A class of generalized Schr\"{o}dinger elliptic problems involving concave-convex and other types of nonlinearities is studied. A reasonable overview about the set of solutions is provided when the parameters involved in the equation assume…

In this work we shall review some of our recent results concerning unique continuation properties of solutions of Schr\"odinger equations. In this equations we include linear ones with a time depending potential and semi-linear ones.

In the present paper the smoothness loss of a continuation of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.

In this paper we study about the existence of solutions of certain kind of non-linear differential and differential-difference equations. We give partial answer to a problem which was asked by chen et al. in [13].

A class of generalized Schr\"{o}dinger problems in bounded domain is studied. A complete overview of the set of solutions is provided, depending on the values assumed by parameters involved in the problem. In order to obtain the results, we…

The paper is devoted to the methods of solving simultaneous recurrences. Specifically, we discuss transformation of matrix recurrences to regular recurrences and propose a way of solving special matrix recurrences of order three by their…

We show two results of mean value problem, Smale's mean value problem is comprehensively solved in this paper.

We describe a certain "self-similar" family of solutions to the free Schroedinger equation in all dimensions, and derive some consequences of such solutions for two specific problems.

A proposed solution to the Riemann Hypothesis

The exact solution of the Cauchy problem of the linear theory of elasticity is given in the paper, when the initial data belong to a specific class of functions.

In this article we establish some properties regarding the solutions of a linear congruence, bases of solutions of a linear congruence, and the finding of other solutions starting from these bases.

This paper deals with bounded solutions of quasilinear elliptic equations on Riemannian manifolds satisfying special condition.