Multiple solutions for coercive p-Laplacian equations

47 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator (2011, background): “Recently, such multiplicity results were proved for the coercive Dirichlet problem driven by the p-Laplacian in [4, 12, 13, 16, 17, 20, 23] (see also [5, 9] for slightly more general differential operators producing two constant sign solutions).”
Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential (2012, methodology): “Remark 4.5 Compared with the results of Liu-Liu [27, Theorem 1.1] and Liu [28, Theorem 1.2], our work here is more general in many respects.”
Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian (2008, background): “9 improves the multiplicity results of [17] and [18].”
Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “Three solutions theorems for coercive nonlinear equations driven by the p-Laplacian (that is, we have a(y) = ‖y‖p−2y for all y ∈ RN, 1 < p < ∞) were proved by Liu [25], Liu and Liu [24] and Kyritsi and Papageorgiou [21].”