Nonlinear fractional field equations (Q412672)
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scientific article; zbMATH DE number 6030597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear fractional field equations |
scientific article; zbMATH DE number 6030597 |
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Nonlinear fractional field equations (English)
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4 May 2012
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fractional operator
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existence of solutions
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exponentially decay
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The authors study the existence of ground state solutions and bounded state solutions for fractional field equations NEWLINE\[NEWLINE (-\Delta +id)^\frac12 u=f(u) \quad \text{in} \;\mathbb R^n, \quad u\in H^\frac12(\mathbb R^n). NEWLINE\]NEWLINE Such solutions decay exponentially at infinity.
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