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

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arxiv 2505.07146 v1 pith:ELMQLN6H submitted 2025-05-11 math.AP

Kanishka Perera , Kaye Silva This is my paper · ORCID
classification math.AP
keywords dimensionaldinger--poisson--slaterschrsolutionsbrezis--nirenbergconsideringcriticalenergy
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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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Cited by 1 Pith paper

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  1. On a scaled abstract linking theorem with an application to the Schr\"{o}dinger--Poisson--Slater equation

    math.AP 2025-06 conditional novelty 6.0 of 10

    A scaled abstract linking theorem is proved and applied to obtain two solutions of a Schrödinger-Poisson-Slater equation.

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