Existence of Solutions for Supercritical (p, 2)-Laplace Equations

Moameni, Abbas; Wong, K. L.

doi:10.1007/s00009-023-02336-y

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2024

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Cited by 2 publications

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“…We arrive to our first main results concerning quasilinear elliptic problems involving the (p, 2)-Laplace operator in Chapter 4. We emphasize to the readers that the results found in Chapter 4 are published in [53].…”

Section: (B)mentioning

confidence: 94%

A Variational Approach Towards Supercritical Hamiltonian Systems and (p, 2)-Laplace Equations

Wong

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The aim of the dissertation is to use a variational principle on convex subsets of a Banach space to study two types of nonlinear partial differential equations. We are interested in studying elliptic problems with supercritical nonlinearities as we lose the compactness property, resulting to the possibility of standard variational (p, 2)-Laplace Operator 5 Systems of Nonhomogeneous Nonlinear Elliptic Equations on a Bounded Annular Domain 5.1 Existence of a Positive Solution via a Variational Formulation . .

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confidence: 94%