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Title
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QUALITATIVE ANALYSIS OF SOLUTIONS FOR A CLASS OF ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT
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Type
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JournalPaper
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Keywords
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degenerate anisotropic Sobolev spaces; variable exponent; Dirichlet boundary value condition; fountain theorem; Ekeland variational principle
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Abstract
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We are concerned with a degenerate anisotropic problem. We first establish the existence of an unbounded sequence of weak solutions. We also obtain the existence of a non-trivial weak solution if the nonlinear term f has a special form. The proofs rely on the fountain theorem and Ekeland’s variational principle.
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Researchers
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maryam mirzapour (Second Researcher), vicentiu radulescu (Third Researcher), Ghasem Alizadeh Afrouzi (First Researcher)
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