<i>p</i>-Laplacian Equations in <inline-formula> <mml:math id="mm888" display="block"> <mml:semantics> <mml:msubsup> <mml:mi mathvariant="double-struck">R</mml:mi> <mml:mo mathvariant="bold">+</mml:mo> <mml:mi mathvariant="bold-italic">N</mml:mi> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula> with Critical Boundary Nonlinearity

Abstract

In this paper, we consider the following p-Laplacian equation in R+N with critical boundary nonlinearity. The existence of infinitely many solutions of the equation is proved via the truncation method.

Keywords

• <i>p</i>-Laplacian equation
• critical boundary nonlinearity
• multiple solutions
• the truncation method