메뉴 건너뛰기




Volumn 37, Issue 3-4, 2010, Pages 485-522

A class of integral equations and approximation of p-Laplace equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77949774164     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-009-0274-x     Document Type: Article
Times cited : (110)

References (15)
  • 1
    • 70350120054 scopus 로고    scopus 로고
    • A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions
    • Andreu F., Mazón J. M., Rossi J. D., Toledo J.: A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions. SIAM J. Math. Anal. 40(5), 1815-1851 (2008).
    • (2008) SIAM J. Math. Anal. , vol.40 , Issue.5 , pp. 1815-1851
    • Andreu, F.1    Mazón, J.M.2    Rossi, J.D.3    Toledo, J.4
  • 2
    • 47349087551 scopus 로고    scopus 로고
    • A nonlocal p-Laplacian evolution equation with Neumann boundary conditions
    • Andreu F., Mazón J. M., Rossi J. D., Toledo J.: A nonlocal p-Laplacian evolution equation with Neumann boundary conditions. J. Math. Pures Appl. 90, 201-227 (2008).
    • (2008) J. Math. Pures Appl. , vol.90 , pp. 201-227
    • Andreu, F.1    Mazón, J.M.2    Rossi, J.D.3    Toledo, J.4
  • 3
    • 43049183444 scopus 로고    scopus 로고
    • Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
    • Barles G., Chasseigne E., Imbert C.: Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(3), 567-585 (2008).
    • (2008) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.25 , Issue.3 , pp. 567-585
    • Barles, G.1    Chasseigne, E.2    Imbert, C.3
  • 4
    • 43049183444 scopus 로고    scopus 로고
    • Second-order elliptic integro-differential equations: Viscosity solutions' theory revisited
    • Barles G., Imbert C.: Second-order elliptic integro-differential equations: viscosity solutions' theory revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(3), 567-585 (2008).
    • (2008) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.25 , Issue.3 , pp. 567-585
    • Barles, G.1    Imbert, C.2
  • 5
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M. G., Ishii H., Lions P.-L.: User's guide to viscosity solutions of second order partial differential equations. Bull. Am. Math. Soc. (N. S.) 27(1), 1-67 (1992).
    • (1992) Bull. Am. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 6
    • 68049121967 scopus 로고    scopus 로고
    • Regularity theory for fully nonlinear integro-differential equations
    • Caffarelli L., Silvestre L.: Regularity theory for fully nonlinear integro-differential equations. Comm. Pure Appl. Math. 62(5), 597-728 (2009).
    • (2009) Comm. Pure Appl. Math. , vol.62 , Issue.5 , pp. 597-728
    • Caffarelli, L.1    Silvestre, L.2
  • 7
    • 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), 827-850 (1983).
    • (1983) Nonlinear Anal. , vol.7 , Issue.8 , pp. 827-850
    • Dibenedetto, E.1
  • 9
    • 63049095153 scopus 로고    scopus 로고
    • Homogenization of the dislocation dynamics and of some particle systems with two-body interactions
    • Forcadel N., Imbert C., Monneau R.: Homogenization of the dislocation dynamics and of some particle systems with two-body interactions. Discrete Contin. Dyn. Syst. 23(3), 785-826 (2009).
    • (2009) Discrete Contin. Dyn. Syst. , vol.23 , Issue.3 , pp. 785-826
    • Forcadel, N.1    Imbert, C.2    Monneau, R.3
  • 10
    • 77949772069 scopus 로고    scopus 로고
    • Non-local Hamilton-Jacobi equations arising in dislocation dynamics
    • to appear in
    • Ishii, H., Matsumura, H.: Non-local Hamilton-Jacobi equations arising in dislocation dynamics, to appear in Z. Anal. Anwendungen.
    • Z. Anal. Anwendungen.
    • Ishii, H.1    Matsumura, H.2
  • 11
    • 84972546686 scopus 로고
    • Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
    • Ishii H., Souganidis P. E.: Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Tohoku Math. J. (2) 47(2), 227-250 (1995).
    • (1995) Tohoku Math. J. (2) , vol.47 , Issue.2 , pp. 227-250
    • Ishii, H.1    Souganidis, P.E.2
  • 12
    • 0036345277 scopus 로고    scopus 로고
    • On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation
    • Juutinen P., Lindqvist P., Manfredi J. J.: On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation. SIAM J. Math. Anal. 33(3), 699-717 (2001).
    • (2001) SIAM J. Math. Anal. , vol.33 , Issue.3 , pp. 699-717
    • Juutinen, P.1    Lindqvist, P.2    Manfredi, J.J.3
  • 13
    • 0001386460 scopus 로고
    • Regularity of the derivatives of solutions to certain degenerate elliptic equations
    • Lewis J. L.: Regularity of the derivatives of solutions to certain degenerate elliptic equations. Indiana Univ. Math. J. 32(6), 849-858 (1983).
    • (1983) Indiana Univ. Math. J. , vol.32 , Issue.6 , pp. 849-858
    • Lewis, J.L.1
  • 14
    • 0000130437 scopus 로고    scopus 로고
    • Singular degenerate parabolic equations with applications to the p-Laplace diffusion equation
    • Ohnuma M., Sato K.: Singular degenerate parabolic equations with applications to the p-Laplace diffusion equation. Comm. Partial Differential Equations 22(3-4), 381-411 (1997).
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.3-4 , pp. 381-411
    • Ohnuma, M.1    Sato, K.2
  • 15
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • Tolksdorf P.: Regularity for a more general class of quasilinear elliptic equations. J. Differential Equations 51(1), 126-150 (1984).
    • (1984) J. Differential Equations , vol.51 , Issue.1 , pp. 126-150
    • Tolksdorf, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.