÷ƒ’À;è TeX output 2000.06.05:1215‹ÿÿÿÿ Ë ý?’²¿üó|{Ycmr8À1ŽŽ £ ýŽá‘C…+ó<ÂÖN ff cmbx12çHomogenisation–ffof“nonlinear“elliptic“systemsŽŸ!á’~ó0X«Q cmr12ÛAndrija–ê¨Raguš¬r‘ús’z,“Mark˜o“V‘ÿVrdoljakŽŸ$á‘ ó5ÂÖN  cmbx12àAbstract.Ž©€‘*_ìÛW‘ÿVe–ß®consider“the“problem“of“nonp•SŽerio“dic–ß®homogenisation“for“nonlinear“ellipticŽ¤€‘ equations–t¥of“arbitrary“order“folloš¬rwing“the“ideas“of“Murat“and“T‘ÿVartar“dev˜elopSŽed“inŽ¡‘ the– case“of“stationary“di usion“equation.‘»Although“the“notion“of“ó1·ág£ cmmi12ÜH‘íVÛ-con•¬rv“ergence‘ isŽ¡‘ de ned–Xanalogously‘ÿV,‘Dthe“main“problem“arises“in“the“determination“of“stable“classesŽ¡‘ of–V‹functions“with“respSŽect“to“ÜH‘íVÛ-con•¬rv“ergence.‘ |‰In–V‹other“w¬rords,‘±„compactness“resultŽ¡‘ is›–*m•¬ruc“h˜harder˜to˜obtain.‘;eSome˜other˜results˜concerning˜further˜propSŽerties˜of˜ÜH‘íVÛ-Ž¡‘ con•¬rv“ergence,‘8ïsuc“h–öas“lošSŽcalit¬ry“principle“and“indep˜endence“of“b˜oundary“conditions,Ž¡‘ are–ê¨also“pro•¬rv“ed.Ž¦‘*_ìThe–Úsame“concept“of“ÜH‘íVÛ-con•¬rv“ergence–Úis“successfully“applied“to“the“case“of“lin-Ž¡‘ ear–‹jelliptic“systems“of“higher“order.‘ 'W‘ÿVe“presenš¬rt“some“of“the“propSŽerties“of“suc˜hŽ¡‘ con•¬rv“ergence.Ž¦‘*_ìW‘ÿVe–·áshall“try“to“discuss“some“generalisations“to“nonlinear“elliptic“systems“asŽ¡‘ w¬rell.ŽŸ%òŸñ€‘ óOŒ-ø cmcsc10ëOAndrija‘œƒRa»»gu²ZŸÿŽzÛ,›VÉDepartmen¬rt–ÚÃof“Mathematics,˜Univ•¬rersit“y–ÚÃof“Zagreb,˜Bijeni¬r‘ús’ck‘ÿXäaŽ¡‘)sçcesta–ê¨30,“10000“Zagreb,“Croatia.ŽŽŽŽ¡‘)sçe{mail:‘8àó6߆µT cmtt12áandrija@math.hrŽŽŽ¡‘)sçhttp://www.math.hr/~andrijaŽŽŽŸ)aŽŸñ€‘ ëOMark»»o‘åûVrdoljakÛ,›WšDepartmen¬rt–AÐof“Mathematics,˜Univ•¬rersit“y–AÐof“Zagreb,˜Bijeni¬r‘ús’ck‘ÿXäaŽ¡‘)sçcesta–ê¨30,“10000“Zagreb,“Croatia.ŽŽŽŽ¡‘)sçe{mail:‘8àámarko@math.hrŽŽŽ¡‘)sçhttp://www.math.hr/~markoŽŽŽŽŽŒø*ƒ’À;èËÓsçóOŒ-ø cmcsc10ó<ÂÖN ff cmbx12ó6߆µT cmtt12ó5ÂÖN  cmbx12ó1·ág£ cmmi12ó0X«Q cmr12ó|{Ycmr8ùØßßßßß