Superlinear Robin problems with indefinite linear part

• Autorzy: Gasiński L. , Papageorgiou N. S.

Identyfikatory

DOI

10.5604/01.3001.0012.0898

• Języki publikacji: EN

Abstrakty

EN

We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools we prove two theorems. An existence theorem producing a nontrivial smooth solution and a multiplicity theorem producing a whole unbounded sequence of nontrivial smooth solutions.

Słowa kluczowe

EN

indefinite potential; unbounded potential; superlinear reaction; critical growth; regularity theory; local linking; infinitely many solution

PL

nieokreślony potencjał; nieograniczony potencjał; reakcja nadliniowa; krytyczny wzrost; teoria regularności; lokalne łączenie; nieskończenie wiele rozwiązań

• Wydawca: Państwowa Wyższa Szkoła Zawodowa w Tarnowie
• Czasopismo: Science, Technology and Innovation
• Rocznik: 2018
• Tom: Vol. 2, no. 1
• Strony: 74--94
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Gasiński L.

• State Higher Vocational School in Tarnow, Mickiewicza 8, 33-100 Tarnów, Poland

autor

Papageorgiou N. S.

• National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).