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arXiv 1608.07067math.APmath.CA
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离散各向异性方程的解列

On sequences of solutions for discrete anisotropic equations

Giovanni Molica Bisci, Dušan Repovš

摘要:

利用最近的一个临界点定理,证明了一类带参数的各向异性问题无穷多个解的存在性。更确切地说,一个具体的区间的正参数,其中处理的问题承认无穷多个解决方案,确定没有对称性假设的非线性数据。我们的目标是通过要求非线性项在零处的适当行为来实现的,没有任何附加条件。

英文摘要:

Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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