TY - JOUR AU - Groli, Alessandro AU - Squassina, Marco PY - 2003/06/01 Y2 - 2024/03/28 TI - On the existence of two solutions for a general class of jumping problems JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 21 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2003.020 SP - 325 - 344 AB - Via nonsmooth critical point theory we prove the existenceof at least two solutions in $W^{1,p}_0(\Omega)$ for a jumping problem involving the Euler equation of multiple integrals of calculus of variationsunder natural growth conditions. Some new difficultiesarise in comparison with the study of the semilinear and alsothe quasilinear case. ER -