A scaled abstract linking theorem is proved and applied to obtain two solutions of a Schrödinger-Poisson-Slater equation.
On the $N$-dimensional Schr\"{o}dinger--Poisson--Slater equation \`a la Brezis--Nirenberg
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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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On a scaled abstract linking theorem with an application to the Schr\"{o}dinger--Poisson--Slater equation
A scaled abstract linking theorem is proved and applied to obtain two solutions of a Schrödinger-Poisson-Slater equation.