On a weighted elliptic equation of N-Kirchhoff type with double exponential growth

• Autorzy: Abid Imed , Baraket Sami , Jaidane Rached

Identyfikatory

DOI

10.1515/dema-2022-0156

• Języki publikacji: EN

Abstrakty

EN

In this work, we study the weighted Kirchhoff problem (…) where B is the unit ball of RN , σ(x)=(log(e∣x∣))N−1 , the singular logarithm weight in the Trudinger-Moser embedding, and g is a continuous positive function on R+ . The nonlinearity is critical or subcritical growth in view of Trudinger-Moser inequalities. We first obtain the existence of a solution in the subcritical exponential growth case with positive energy by using minimax techniques combined with the Trudinger-Moser inequality. In the critical case, the associated energy does not satisfy the condition of compactness. We provide a new condition for growth, and we stress its importance to check the compactness level.

Słowa kluczowe

EN

nonlocal Kirchhoff equation; Trudinger-Moser’s inequality; critical double exponential nonlinearities; mountain pass theorem

PL

prawa Kirchhoffa; nierówność Trudingera-Mosera; równanie eliptyczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 634--657
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Abid Imed

• Higher Institute of Medical Technologies of Tunis, University of Tunis El Manar, Tunis, Tunisia

autor

Baraket Sami

• Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia

autor

Jaidane Rached

• Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).