Nehari-Type Ground State Solutions for Superlinear Elliptic Equations with Variable Exponent in

• Autores: Bin Ge, Ben Lee, Gan Ling Hou
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
• Idioma: inglés
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• Resumen

  • We deal with the existence of Nehari-type ground state solutions for the superlinear p(x)-Laplacian equation −△p(x)u+V(x)|u|p(x)−2u=f(x,u),x∈RN,u∈W1,p(x)(RN).

    Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions using Non-Nehari manifold method.