Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
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发表时间：
2002
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通讯作者：
S. Carl;S. Heikkilä
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作者：
S. Carl;S. Heikkilä
我们证明了一般L p -空间中的不连续函数方程的存在性结果，并将这些结果应用于涉及不连续非线性的隐式和显式椭圆边值问题的可解性。证明的主要工具是第二作者证明的格序Banach空间中的一个不动点结果。首先证明了函数方程h（x）= f（x;（h（x））;h（x））和h（x）= g（x;（h（x））的解的存在性
We prove existence results for discontinuous functional equations in general L p -spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a xed point result in lattice-ordered Banach spaces proved by the second author. rst prove existence results for the functional equations h(x) = f(x; (h(x));h(x)) and h(x) = g(x; (h(x)))