We prove boundedness, H & ouml;lder continuity, Harnack inequality results for local quasiminima to elliptic double phase problems of p-Laplace type in the general context of metric measure spaces. The proofs follow a variational approach and they are based on the De Giorgi method, a careful phase analysis and estimates in the intrinsic geometries.
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Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
Grimaldi, Antonio Giuseppe
Ipocoana, Erica
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Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, Via Campi 213-B, I-41125 Modena, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
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Univ Econ Ho Chi Minh City, Inst Appl Math, 59C,Nguyen Dinh Chieu St,Dist 3, Ho Chi Minh City, VietnamUniv Econ Ho Chi Minh City, Inst Appl Math, 59C,Nguyen Dinh Chieu St,Dist 3, Ho Chi Minh City, Vietnam
Ho, Ky
Winkert, Patrick
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Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, GermanyUniv Econ Ho Chi Minh City, Inst Appl Math, 59C,Nguyen Dinh Chieu St,Dist 3, Ho Chi Minh City, Vietnam
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, Morocco
Benslimane, Omar
Aberqi, Ahmed
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Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci Fez, Lab LAMA, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, Morocco
Aberqi, Ahmed
Bennouna, Jaouad
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, Morocco
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Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, ItalyUniv Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Giannetti, Flavia
di Napoli, Antonia Passarelli
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Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, ItalyUniv Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
Seoul Natl Univ, Res Inst Math, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
Byun, Sun-Sig
Youn, Yeonghun
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea