Infinitely many smooth nodal solutions for Orlicz Robin problems

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In this note, we study a Robin problem driven by the Orlicz g-Laplace operator. In particular, by using a regularity result and Kajikiya's theorem, we prove that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one. The analysis is developed in the most general abstract setting that corresponds to Orlicz-Sobolev function spaces.
Klíčová slova
Nodal solutions
Orlicz-Sobolev spaces
Robin boundary value
Regularity