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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Liouville theorems for superlinear parabolic problems
超线性 抛物线问题 刘维尔定理
2023/4/23
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
Random Homogenization of Fractional Obstacle Problems
Random Homogenization Fractional Obstacle Problems
2015/10/15
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domains.
Existence of solutions for some nonlinear problems with p-Laplacian like
Existence p-Laplacian like operators Leray-Schauder degree Robin boundary conditions
2011/10/13
The purpose of this paper is to obtain some existence results of solutions for the nonlinear boundary value problems with p-Laplacian like operators by Leray-Schauder degree theory.
Partial Answers on Saari’s Conjecture of N-body problems
N-body problems Relative equilibria Central configurations Variational methods
2011/10/13
One special periodic solution of the Newtonian N-body problems is relative equilibria,which rotates rigidly about their center of mass.In 1970,Donald G.Saari conjectured:if the moment of inertia of N-...
Semipositone Problems of Second Order Ordinary Differential Equations
Positive solution Semipositone boundary value problem Ordinary differential equation
2011/10/12
The paper is concerned with the semipositone boundary value problems of second-order ordinary differential equations. Applying a fixed point theorem in cones, an existence result of at least one posit...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces
Positive solutions boundary value problem Banach spaces fixed point index
2010/2/25
This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or t...
NORMAL BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS OF HIGHER ORDER
BOUNDARY VALUE HIGHER ORDER DIFFERENTIAL EQUATIONS
2010/3/17
In this work the arbitrary order differential operator expression of the form \imath (u) = \frac{\partial u (t)}{\partial tn}+Au(t), where A is a bounded normal operator in the Hilbert Space H is cons...