메뉴 건너뛰기




Volumn 14, Issue 3-4, 2007, Pages 315-334

Some results on the qualitative properties of positive solutions of quasilinear elliptic equations

Author keywords

Geometric and qualitative properties of the solutions; M Laplace operator; Regularity of the solutions

Indexed keywords


EID: 38849196366     PISSN: 10219722     EISSN: 14209004     Source Type: Journal    
DOI: 10.1007/s00030-007-5047-7     Document Type: Article
Times cited : (40)

References (16)
  • 1
    • 7544220208 scopus 로고    scopus 로고
    • Morse index and uniqueness for positive radial solutions of p-Laplace equations
    • A. AFTALION and F. PACELLA, Morse index and uniqueness for positive radial solutions of p-Laplace equations, Trans. Amer. Mat. soc., 356(11) (2004), 4255-4272.
    • (2004) Trans. Amer. Mat. soc , vol.356 , Issue.11 , pp. 4255-4272
    • AFTALION, A.1    PACELLA, F.2
  • 2
    • 0000685470 scopus 로고    scopus 로고
    • Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
    • L. DAMASCELLI, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results, Ann. Inst. H. Poincaré. Analyse non linéaire, 15(4) (1998), 493-516.
    • (1998) Ann. Inst. H. Poincaré. Analyse non linéaire , vol.15 , Issue.4 , pp. 493-516
    • DAMASCELLI, L.1
  • 3
    • 0000396386 scopus 로고    scopus 로고
    • Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method
    • L. DAMASCELLI and F. PACELLA, Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method. Ann. Scuola Norm. Sup. Pisa Cl. Sci., 26(4) (1998), 689-707.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci , vol.26 , Issue.4 , pp. 689-707
    • DAMASCELLI, L.1    PACELLA, F.2
  • 4
    • 5044226333 scopus 로고    scopus 로고
    • Regularity, Monotonicity and Symmetry of positive solutions of m-Laplace equations
    • L. DAMASCELLI and B. SCIUNZI, Regularity, Monotonicity and Symmetry of positive solutions of m-Laplace equations. J. Diff. Equations. 206(2) (2004), 483-515.
    • (2004) J. Diff. Equations , vol.206 , Issue.2 , pp. 483-515
    • DAMASCELLI, L.1    SCIUNZI, B.2
  • 5
    • 33344470918 scopus 로고    scopus 로고
    • Harnack Inequalities, Maximum and Comparison Principles, and Regularity of positive solutions of m-Laplace equations
    • L. DAMASCELLI and B. SCIUNZI, Harnack Inequalities, Maximum and Comparison Principles, and Regularity of positive solutions of m-Laplace equations. Calculus of Variations and P.D.E. 25(2) (2006), 139-159.
    • (2006) Calculus of Variations and P.D.E , vol.25 , Issue.2 , pp. 139-159
    • DAMASCELLI, L.1    SCIUNZI, B.2
  • 6
    • 0001472514 scopus 로고
    • 1+α local regularity of weak solutions of degenerate elliptic equations
    • 1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7(8) (1983), 827-850.
    • (1983) Nonlinear Anal , vol.7 , Issue.8 , pp. 827-850
    • DIBENEDETTO, E.1
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. GIDAS, W. M. NI and L. NIRENBERG, Symmetry and related properties via the maximum principle, Comm. Math. Phys., (68) (1979), 209-243.
    • (1979) Comm. Math. Phys , vol.68 , pp. 209-243
    • GIDAS, B.1    NI, W.M.2    NIRENBERG, L.3
  • 9
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • G. M. LIEBERMAN, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal., 12(11) (1988), 1203-1219.
    • (1988) Nonlinear Anal , vol.12 , Issue.11 , pp. 1203-1219
    • LIEBERMAN, G.M.1
  • 10
    • 0002465923 scopus 로고
    • Boundary value problems for some degenerate-elliptic operators
    • M. K. V. MURTHY and G. STAMPACCHIA, Boundary value problems for some degenerate-elliptic operators, Ann. Mat. Pura Appl. 80(4) (1968), 1-122.
    • (1968) Ann. Mat. Pura Appl , vol.80 , Issue.4 , pp. 1-122
    • MURTHY, M.K.V.1    STAMPACCHIA, G.2
  • 11
    • 0033463505 scopus 로고    scopus 로고
    • Symmetry of Ground states of quasilinear elliptic equations
    • J. SERRIN and H. ZOU, Symmetry of Ground states of quasilinear elliptic equations, Arch. Rational Mech. Anal., 148 (1999), 265-290.
    • (1999) Arch. Rational Mech. Anal , vol.148 , pp. 265-290
    • SERRIN, J.1    ZOU, H.2
  • 12
    • 0036435240 scopus 로고    scopus 로고
    • Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
    • J. SERRIN and H. ZOU, Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities, Acta Mathematica, 189 (2002).
    • (2002) Acta Mathematica , vol.189
    • SERRIN, J.1    ZOU, H.2
  • 13
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • P. TOLKSDORF, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Equations, (51) (1984), 126-150.
    • (1984) J. Diff. Equations , vol.51 , pp. 126-150
    • TOLKSDORF, P.1
  • 15
    • 0006027422 scopus 로고
    • Linear elliptic operators with measurable coefficients
    • N. S. TRUDINGER, Linear elliptic operators with measurable coefficients, Ann. Scuola Norm. Sup. Pisa., 27(3) (1973), 265-308
    • (1973) Ann. Scuola Norm. Sup. Pisa , vol.27 , Issue.3 , pp. 265-308
    • TRUDINGER, N.S.1
  • 16
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J. L. VAZQUEZ, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim., (1984), 191-202.
    • (1984) Appl. Math. Optim , pp. 191-202
    • VAZQUEZ, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.