Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity
Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity
Abstract The existence of multiple solutions to a Dirichlet problem involving the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>p</m:mi> <m:mo>,</m:mo> <m:mi>q</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> ${(p,q)}$ -Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue …