Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

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Existence of multiple solutions with precise sign information for superlinear Neumann problems (2009, methodology): “Kyritsi, S., Papageorgiou, N.S.: Multiple solutions of constant sign for nonlinear nonsmooth eigenvalue problems near resonance.”
Existence of five nonzero solutions with exact sign for A p-laplacian equation (2009, methodology): “We emphasize that hemivariational inequalities are used in the study of problems with discontinuities (see Chang [12], Gasiński-Papageorgiou [26]), as well as in various engineering problems in which the corresponding energy (Euler) functional is nonsmooth and nonconvex.”
Existence of solutions for double phase obstacle problems with multivalued convection term (2020, unknown): “1 in Gasiński-Papageorgiou [13] to find aK , bK > 0 such that IK(v) ≥ −aK‖v‖1,H,0 − bK for all v ∈ W 1,H 0 (Ω).”
Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential (2012, methodology): “We know that λ̂1 > 0 is isolated, simple and ‖∇u‖pp λ̂1‖u‖pp ∀u ∈ W1,p0 ( ) (see Gasiński-Papageorgiou [19]).”
Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities (2009, methodology): “For details we refer to Gasiński–Papageorgiou [15].”