Double phase equations with an indefinite concave term
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Date
2022-07-28
Authors
Liu, Zhenhai
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a Dirichlet problem having a double phase differential operator with unbalanced growth and reaction involving the combined effects of a concave (sublinear) and of a convex (superlinear) terms. We allow the coefficient ℇ ∈ L∞(Ω) of the concave term to be sign changing. We show that when ‖ℇ‖∞ is small the problem has at least two bounded positive solutions.
ℇ
Description
Keywords
Unbalanced growth, Generalized Orlicz spaces, Positive solution, Concave-convex problem, Mountain pass theorem
Citation
Liu, Z., & Papageorgiou, N. S. (2022). Double phase equations with an indefinite concave term. <i>Electronic Journal of Differential Equations, 2022</i>(55), pp. 1-10.
Rights
Attribution 4.0 International