Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Demonstratio Mathematica

1 2022

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: nierówność Trudingera-Mosera

Sortuj według:

Ogranicz wyniki do:

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

Abid Imed, Baraket Sami, Jaidane Rached

Demonstratio Mathematica

2022

Vol. 55, nr 1

634--657

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.