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On a class of Hamiltonian strongly degenerate elliptic systems with concave and convex nonlinearities

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ABSTRACT In this paper, we prove the existence of positive and negative energy solutions to the following semilinear strongly degenerate elliptic system where is a function satisfying the subcritical growth… Click to show full abstract

ABSTRACT In this paper, we prove the existence of positive and negative energy solutions to the following semilinear strongly degenerate elliptic system where is a function satisfying the subcritical growth with respect to the second and third variables, Ω is a bounded domain in () with smooth boundary , and is the strongly degenerate operator of the form where , are continuous functions on satisfying some certain conditions.

Keywords: strongly degenerate; hamiltonian strongly; systems concave; degenerate elliptic; elliptic systems; class hamiltonian

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019

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