An Abstract Critical Point Theorem to Study a Class of Elliptic Problems

We study an elliptic problem driven by a product of a singular nonlinearity and an exponential nonlinearity. We will prove the existence of arbitrarily many pairs of solutions to the problem by varying the value of the associated parameter λ. © Mathematica Josephina, Inc. 2025.

Авторы
Choudhuri Debajyoti 1 , Shishkov Andrey E. 2
Издательство
Springer New York LLC
Номер выпуска
9
Язык
Английский
Статус
Опубликовано
Номер
278
Том
35
Год
2025
Организации
  • 1 School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, OR, India
  • 2 RUDN University, Moscow, Moscow Oblast, Russian Federation
Ключевые слова
Critical point theory; Exponential singularity; Trudinger-Moser inequality
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