The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on \(\mathbf{R}^3\)

DOI10.1016/j.nonrwa.2017.04.008zbMath1376.35064OpenAlexW2616308691MaRDI QIDQ2410664

Shu-Zhi Song, Shang-Jie Chen

Publication date: 18 October 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.04.008

zbMATH Keywords

Klein-Gordon equationconvex nonlinearitiesconcave nonlinearities

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (10)

Standing waves for nonautonomous Klein-Gordon-Maxwell systems ⋮ On the solitary solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory ⋮ Existence and multiplicity of sign-changing solutions for Klein-Gordon equation coupled with Born-Infeld theory with subcritical exponent ⋮ Infinitely many solutions for the Klein-Gordon equation with sublinear nonlinearity coupled with Born-Infeld theory ⋮ Existence of solutions for critical Klein-Gordon equations coupled with Born-Infeld theory in higher dimensions ⋮ Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Infinitely many solutions and least energy solutions for Klein–Gordon equation coupled with Born–Infeld theory ⋮ Ground state solution for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical exponents

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