On the existence of two solutions for a general class of jumping problems. (English) Zbl 1030.35040

Groli, Alessandro; Squassina, Marco

Topol. Methods Nonlinear Anal. 21, No. 2, 325-344 (2003).

Nonsmooth critical point theory is used to prove the existence of at least two solutions in \(W_0^{1,p}(\Omega)\) for a jumping problem involving the Euler equation of multiple integrals of calculus of variations under growth conditions.

Reviewer: Josef Diblík (Brno)

MSC:

35J40	Boundary value problems for higher-order elliptic equations
58E05	Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces

Keywords:

Jumping problems; quasilinear problems; critical point theory