Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents

Existence of solutions for critical Klein–Gordon equations coupled with Born–Infeld theory in higher dimensions

“…and other problems involving critical exponents can be seen in [6,7,14,16,17]. In proving our results, we have to deal with various difficulties.…”

Ground state solutions of a Klein–Gordon–Maxwell system for two scalar fields

“…For instance, Cassani [5] studied the problem when 𝑓 (u) = 𝜇|u| p−2 + |u| 2 * −2 where 2 * is the critical Sobolev exponent and 2 < p < 6. See other research [4,7,[9][10][11][12] for further results. In particular, Carrio et.…”

“…For instance, Cassani [5] studied the problem when $$$ f(u)&#x0003D;\mu {\left&#x0007C;u\right&#x0007C;}&#x0005E;{p-2}&#x0002B;{\left&#x0007C;u\right&#x0007C;}&#x0005E;{2&#x0005E;{\ast }-2} $$$ where 2 ∗ is the critical Sobolev exponent and $$$ 2&lt;p&lt;6 $$$. See other research [4, 7, 9–12] for further results. In particular, Carrio et.…”