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arxiv: 1412.0270 · v1 · pith:RLIZWVIZnew · submitted 2014-11-30 · 🧮 math.AP

Fractional logarithmic Schr\"odinger equations

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keywords fractionallogarithmicodingerschrsolutionsweakcriticalequation
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By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schr\"odinger equation with logarithmic nonlinearity. We also investigate the H\"older regularity of the weak solutions.

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