Inverting thep-harmonic operator
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bénilan, P., Boccardo, L., Gallouët, T., Gariepy, R., Pierre, M., Vasquez, J. L.: AnL 1-Theory of Existence and Uniqueness of Solutions of Nonlinear Elliptic Equations, Ann. Scuola Norm. Sup. Pisa, Ser. IV,22 (1995), 241–273.
Boccardo, L., Gallouët, T.: Non linear elliptic and parabolic equations involving measure data, Jour. Func. Anal.,87 (1989), 149–169.
Brezis, H., Merle, F.: Uniform estimates and blow-up behavior for solutions of − Δu =V(x)e u in two dimensions, Comm. In P.D.E.16 (1991), 1223–1253.
Chanillo, S., Li, Y. Y.: Continuity of solutions of uniformly elliptic equations in ℝ2, Manuscripta Math.,77, n. 4 (1992), 415–433.
Dolzman, G., Hungerbühler, N., Müller, S.: Nonlinear elliptic systems with measure-valued right hand side, to appear.
Fiorenza, A., Sbordone, C.: Existence and uniqueness results for solutions of nonlinear equations with right hand side inL 1, to appear.
Greco, L.: A remark on the equality detD f = DetD f, Diff. Int. Eq.,6, n. 5, (1993), 1089–1100.
Greco, L., Iwaniec, T., Sbordone, C., Stroffolini, B.: Degree formulas for maps with nonintegrable jacobian, Topological Methods in Nonlinear Analysis,6, n. 1 (1995) 81–95.
Iwaniec, T. Sbordone, C.: On the integrability of the Jacobian under minimal hypotheses, Arch. Rat. Mech. Anal.119 (1992), 129–143.
Iwaniec, T., Sbordone, C.: Weak minima of variational integrals, J. Reine Angew. Math.454 (1994), 143–161.
Iwaniec, T., Scott, C., Stroffolini, B.: Nonlinear Hodge theory on manifolds with boundary, to appear.
Lions, P.-L., Murat, F.: Solutions renormalisées d’equations elliptiques, to appear.
Kilpeläinen, T., Malý, J.: Degenerate elliptic equations with measure data and nonlinear potentials, Ann. Scuola Norm. Sup; Pisa, Ser IV,19 (1992), 591–613.
Murat, F.: Soluciones renormalizadas de EDP elipticas no lineales, Publications du Laboratoire d’Analyse Numerique, Paris (1993).
Stampacchia, G.: Le problème de Dirichlet pour les equations elliptiques du second ordrea coefficients discontinus, Ann. Inst. Fourier, Grenoble,15 (1965) 189–258.