## Tunisian Journal of Mathematics

### Finite-dimensional reduction of a supercritical exponent equation

Mohamed Ben Ayed

#### Abstract

We present a finite-dimensional reduction for a supercritical exponent PDE. We reduce the existence of a solution of the problem

to finding a critical point of a function defined in some set $V⊂ℝN×ℝN×ΩN$.

#### Article information

Source
Tunisian J. Math., Volume 2, Number 2 (2020), 379-397.

Dates
Revised: 21 February 2019
Accepted: 18 March 2019
First available in Project Euclid: 13 August 2019

https://projecteuclid.org/euclid.tunis/1565661722

Digital Object Identifier
doi:10.2140/tunis.2020.2.379

Mathematical Reviews number (MathSciNet)
MR3990824

#### Citation

Ben Ayed, Mohamed. Finite-dimensional reduction of a supercritical exponent equation. Tunisian J. Math. 2 (2020), no. 2, 379--397. doi:10.2140/tunis.2020.2.379. https://projecteuclid.org/euclid.tunis/1565661722

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