Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity (Q1728398)
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scientific article; zbMATH DE number 7027837
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity |
scientific article; zbMATH DE number 7027837 |
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Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity (English)
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22 February 2019
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The authors study a semilinear Robin problem with an indefinite and unbounded potential as well as a reaction term resonant at zero and infinity with respect to any eigenvalue of the left hand side operator. The existence of at least two positive solutions is proved: the first of them using the Lyapunov-Schmidt reduction method and the other one by Morse theory.
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semilinear equation with Laplacian
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Robin problem
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indefinite potential
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resonance
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Lyapunov-Schmidt reduction method
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