Non-autonomous weighted elliptic equations with double exponential growth

DOI10.2478/auom-2021-0033OpenAlexW4200274616WikidataQ115489925 ScholiaQ115489925MaRDI QIDQ5879839

Rached Jaidane, Sami Baraket

Publication date: 6 March 2023

Published in: Analele Universitatii "Ovidius" Constanta - Seria Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/auom-2021-0033

zbMATH Keywords

Moser-Trudinger inequalitymountain passdouble exponential growthcompactness level

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Higher-order elliptic equations (35J30)

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Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth ⋮ Existence of signed and sign-changing solutions for weighted Kirchhoff problems with critical exponential growth ⋮ Non local weighted fourth order equation in dimension \(4\) with non-linear exponential growth ⋮ Existence solutions for a weighted biharmonic equation with critical exponential growth ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity ⋮ Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth ⋮ Nodal solutions for logarithmic weighted \(N\)-Laplacian problem with exponential nonlinearities

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