Existence of nontrivial solutions for perturbed \(p\)-Laplacian equation in \(\mathbb{R}^N\) with critical nonlinearity (Q1724828)
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scientific article; zbMATH DE number 7022956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of nontrivial solutions for perturbed \(p\)-Laplacian equation in \(\mathbb{R}^N\) with critical nonlinearity |
scientific article; zbMATH DE number 7022956 |
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Existence of nontrivial solutions for perturbed \(p\)-Laplacian equation in \(\mathbb{R}^N\) with critical nonlinearity (English)
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14 February 2019
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Summary: We consider a perturbed \(p\)-Laplacian equation with critical nonlinearity in \(\mathbb{R}^N\). By using variational method, we show that it has at least one positive solution under the proper conditions.
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