Journal
OPUSCULA MATHEMATICA
Volume 39, Issue 2, Pages 259-279Publisher
AGH UNIV SCIENCE & TECHNOLOGY PRESS
DOI: 10.7494/OpMath.2019.39.2.259
Keywords
differential operator with unbalanced growth; double-phase energy; variable exponent
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064, N1-0083]
- DGISPI (Spain) [MTM2017-85449-P]
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We are concerned with the study of two classes of nonlinear problems driven by differential operators with unbalanced growth, which generalize the (p, q)- and (p(x),q(x))-Laplace operators. The associated energy is a double-phase functional, either isotropic or anisotropic. The content of this paper is in relationship with pioneering contributions due to P. Marcellini and G. Mingione.
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