Mathematical Sciences: Nonlinear Elliptic Boundary Value Problems

本项目将研究非线性方程组的可解性 椭圆边值问题 重点将放在 如果问题是半线性的， 线性部分的频谱未知，或者非线性部分 干扰了光谱。 最近的事态发展 山路引理的抽象预计将呈现 存在和多重性问题的资料 解决这些问题。 所要研究的问题都是 数学领域的问题模型方程， 物理学生物数学和化学

This project will study the solvability of nonlinear elliptic boundary value problems. Main emphasis will be placed in the cases where either the problem is semilinear but the spectrum of the linear part is not known, or the nonlinear part interferes with the spectrum. Recent developments on abstractions of the mountain pass lemma are expected to render information on the issue of existence and multiplicity of solutions for these problems. The problems to be studied are basic questions arising in equations that model problems in areas such as mathematical physics, biomathematics, and chemistry.