Multiple Solutions for Parametric Neumann Problems with Indefinite and Unbounded Potential

نویسندگان

  • Nikolaos S. Papageorgiou
  • George Smyrlis
  • Eugenia N. Petropoulou
چکیده

We consider a parametric Neumann problem with an indefinite and unbounded potential. Using a combination of critical point theory with truncation techniques and with Morse theory, we produce four nontrivial smooth weak solutions: one positive, one negative and two nodal (sign changing). AMS Subject Classifications: 35J20, 35J60, 58E05.

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تاریخ انتشار 2014