zbMATH — the first resource for mathematics

Orlicz-Sobolev spaces and imbedding theorems. (English) Zbl 0216.15702

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Full Text: DOI
[1] Clark, C.W, Introduction to Sobolev spaces, () · Zbl 0337.92011
[2] Dankert, G, Sobolev imbedding theorems in Orlicz spaces, () · Zbl 0191.41602
[3] Donaldson, T.K, Orlicz-Sobolev spaces and applications, (1969), Department of Pure Mathematics, Australian National University Canberra · Zbl 0207.41501
[4] \scT. K. Donaldson, Existence theorems for nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces, to appear. · Zbl 0207.41501
[5] Dubinski, J.A, Some imbedding theorems in Orlicz spaces, Dokl. akad. nauk SSSR, 152, 529-532, (1963)
[6] Krasnoselskii, M.A; Rutickii, Y, Convex functions and Orlicz spaces, (1961), Noordhoff Groningen
[7] Lions, J.L, Problèmes aux limites dans LES équations aux derivées partielles, (1966), University of Montreal Press · Zbl 0148.07801
[8] Meyers, N.G; SerRin, J.B, (), 1055-1056
[9] Morrey, C.B, Multiple integral problems in the calculus of variations, (1966), Springer-Verlag New York · Zbl 0108.10402
[10] Neças, J, LES méthodes directes en théorie des équations élliptiques, (1967), Masson Paris · Zbl 1225.35003
[11] O’Neill, R, Fractional integration in Orlicz spaces, Trans. amer. math. soc., 115, 300-328, (1965) · Zbl 0132.09201
[12] Serrin, J.B, Local behaviour of solutions of quasilinear equations, Acta math., 113, 219-240, (1965) · Zbl 0173.39202
[13] Spanne, S, Some function spaces defined using the Mean oscillation over cubes, Ann. sc. norm. sup. Pisa, 19, 593-608, (1965) · Zbl 0199.44303
[14] Trudinger, N.S, On imbeddings into Orlicz spaces and applications, J. math. mech., 17, 473-484, (1967) · Zbl 0163.36402
[15] \scN. S. Trudinger, Continuity of weak solutions of quasilinear equations, to appear. · Zbl 0883.35035
[16] Zaanen, A.C, Linear analysis, (1953), Amsterdam-New York · Zbl 0053.25601
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.