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arXiv · 2505.07146

On the $N$-dimensional Schr\"{o}dinger--Poisson--Slater equation \`a la Brezis--Nirenberg

Kanishka Perera·Kaye Silva
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Abstract

With aid of the Pohozaev's identity and Nehari manifold, we prove the existence and multiplicity of solutions to $N$-dimensional Schr\"{o}dinger--Poisson--Slater type equations involving critical exponents, by considering prescribed energy solutions.

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Kanishka Perera, Kaye Silva. 2025-05-11. On the $N$-dimensional Schr\"{o}dinger--Poisson--Slater equation \`a la Brezis--Nirenberg. https://arxiv.org/abs/2505.07146

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