Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 286, Issue -, Pages 455-473Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2021.03.036
Keywords
Anisotropic double phase operator; Critical type exponent; Existence results; Minkowski space; Singular problems
Categories
Funding
- National Research, Development and Innovation Fund of Hungary [K_18, 127926]
- Sapientia Foundation -Institute for Scientific Research, Romania [17/11.06.2019]
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This paper investigates a class of singular double phase problems on Minkowski spaces using Finsler manifolds, allowing certain critical growth for the right-hand sides. By employing variational tools under general assumptions, the existence of at least one non-trivial weak solution for such a problem is proven. This marks the first work dealing with a Finsler double phase operator, even in the nonsingular case.
In this paper, we study a class of singular double phase problems defined on Minkowski spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of critical growth for such problems. Under very general assumptions and based on variational tools we prove the existence of at least one non-trivial weak solution for such a problem. This is the first work dealing with a Finsler double phase operator even in the nonsingular case. (C) 2021 Elsevier Inc. All rights reserved.
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