This analysis reveals the existence and multiplicity of nontrivial solutions in Schrödinger-Bopp-Podolsky systems, indicating critical nonlinearity implications.
This article investigates the existence and multiplicity of nontrivial solutions for Schrödinger-Bopp-Podolsky systems with critical nonlinearity in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mrow> <m:mi mathvariant="double-struck">R</m:mi> </m:mrow> <m:mrow> <m:mn>3</m:mn> </m:mrow> </m:msup> </m:math> {{R}}³ . Under appropriate assumptions about the potential and nonlinear terms, the existence and multiplicity of solutions are obtained by using the concentration-compactness principle and the symmetric mountain pass theorem. To some extent, we generalize the previous results.
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Liu et al. (2025) studied this question.
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