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Infinitely many solutions for non-local elliptic non-degenerate p-Kirchhoff equations with critical exponent

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ABSTRACT In this paper, we obtain the existence of infinitely many weak solutions with negative energy for non-degenerate elliptic Kirchhoff equation with critical exponent driven by the fractional p-Laplacian. We… Click to show full abstract

ABSTRACT In this paper, we obtain the existence of infinitely many weak solutions with negative energy for non-degenerate elliptic Kirchhoff equation with critical exponent driven by the fractional p-Laplacian. We show this result when is small enough by using a Lusternikā€“Schnirelmann argument.

Keywords: non degenerate; critical exponent; kirchhoff; infinitely many

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

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