Multiple solutions for -Laplacian type equations

On p-superlinear equations with a nonhomogeneous differential operator

“…Problems driven by nonhomogeneous differential operators were investigated by Dabuleanu and Radulescu [9], De Napoli and Mariani [11], Duc and Vu [12], Hu and Papageorgiou [18], Kourogenis and Papageorgiou [21], Kristaly et al [22], Kyritsi et al [28] and Papageorgiou et al [29].…”

“…Multiplicity results were proved in [11] (under symmetry conditions on the reaction term) and in [22,23,28,29] for certain classes of parametric equations. The p-superlinear case is considered only in [28] under a different hypothesis on the reaction.…”

Multiple solutions for elliptic equations involving a general operator in divergence form

“…Their contributions represent a nice improvement, in several directions, of the results obtained by Kristály, Lisei and Varga in [10] in which a uniform Dirichlet problem with parameter is investigated.…”

Infinitely many solutions for elliptic problems with variable exponent and nonlinear boundary conditions

“…However, nonstandard operators closely related to the ones described with the aid of (A1)-(A5) can appear in different situations, such is the case of classical Lebesgue-Sobolev spaces (see [14]), or the case of anisotropic LebesgueSobolev spaces with variable exponent (see [3]). …”