Nehari manifold approach for double phase problems involving anisotropic matrices diffusion
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DOI: 10.1080/00036811.2025.2489468
Abstract: This paper tackles new kind of double phase problems characterized by variable exponent matrices diffusion and nonlinear boundary conditions. Using the Nehari manifold technique, we investigate the existence and multiplicity results of nonnegative weak solutions… read more here.
Keywords: nehari manifold; matrices diffusion; double phase; phase problems ... See more keywords
Parabolic Lipschitz truncation for multi-phase problems: The degenerate case
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DOI: 10.1515/acv-2025-0003
Abstract: Abstract This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a delicate comparison scheme of appropriate alternatives to distinguish… read more here.
Keywords: lipschitz truncation; phase; multi phase; phase problems ... See more keywords
A Multiplicity Theorem for Superlinear Double Phase Problems
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DOI: 10.3390/sym13091556
Abstract: We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition. Using the Nehari manifold, we show that the problem has… read more here.
Keywords: phase; multiplicity theorem; double phase; theorem superlinear ... See more keywords