Multiplicity of solutions to a potential operator equation and its applications (Q1725340)
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scientific article; zbMATH DE number 7023370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions to a potential operator equation and its applications |
scientific article; zbMATH DE number 7023370 |
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Multiplicity of solutions to a potential operator equation and its applications (English)
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14 February 2019
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Summary: We consider the multiplicity of solutions for operator equation involving homogeneous potential operators. With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions. Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving \((p, q)\)-Laplacian operator and concave-convex nonlinearities.
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0.8618009686470032
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0.808722734451294
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