×

Quasilinear elliptic operators and weak solutions of the Euler equation. (English) Zbl 0398.35033


MSC:

35J35 Variational methods for higher-order elliptic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
35D05 Existence of generalized solutions of PDE (MSC2000)

References:

[1] Browder F.E.: Problèmes nonlinéaires, Montreal: University of Montreal Press 1966 · Zbl 0153.17302
[2] Browder F.E.: Existence theory for boundary value problems for quasilinear elliptic systems with strongly nonlinear lower order terms. In: Partial Differential Equations Proceedings of Symposia in Pure Mathematics23 (Berkeley 1971). pp. 269-286. Providence: American Mathematical Society 1971
[3] Dunford, Schwartz J.T.: Linear operators, Part I. New York: Interscience Publishers, 1957
[4] Gossez J.P.: Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients. Trans. Amer. Math. Soc.190, 163-205 (1974) · Zbl 0239.35045 · doi:10.1090/S0002-9947-1974-0342854-2
[5] Gossez J.P.: Un problem de Dirichlet fortement non linéaire. B.U.M.I.14A (1977) (118-125) · Zbl 0353.35045
[6] Gossez J.P., Hess P.: Sur certaines problèmes aux elliptiques fortement non linéaires. C. r. Acad. Sci. Paris278, 343-345 (1974) · Zbl 0273.35035
[7] Landes R.: Quasilineare elliptische Differentialoperatoren mit starkem Wachstum in den Termen höchster Ordnung. Math. Z.157 (1977), 23-36 · Zbl 0372.35033 · doi:10.1007/BF01214677
[8] Landes R.: Two existence theorems for nonlinear elliptic equations. To appear, in J. Diff. Equations · Zbl 0377.35027
[9] Morrey jr. C.B.: Multiple integrals in the calculus of variation. Berlin-Heidelberg-New York: Springer 1969
[10] Simader C.G.: Über schwache Lösungen des Dirichlet-problems für streng nichtlineare elliptische Differentialgleichungen. Math. Z.150, 1-26 (1976) · Zbl 0354.35039 · doi:10.1007/BF01213881
[11] Webb J.R.L.: Strongly Nonlinear Elliptic Equations. In: ?Problèmes quasilinéaires?. Lecture Notes. Berlin-Heidelberg-New York, to appear
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.