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Häufige Begriffe und Wortgruppena.e. in Q admits a unique arbitrarily fixed assume assumptions Banach space belongs bilinear form bound imposed Br(x Cauchy sequence class C1 closed and convex coefficients coercive compact continuous convex set convex subset corollary deduce defined denote depends derivatives dii\r divergence theorem dQ\r dx for v e equation exists a constant following lemma following theorem hemicontinuous hence Hilbert space Hip(Q Hkp(Q Hlp(Q Holder's inequality implies Let Q Let u e linear space LP(Q mapping maximum principle measurable functions monotone moreover nonnegative norm estimate normed space obtain open subset partition of unity proof of Lemma proof of Theorem prove pseudomonotone Rellich's theorem remains valid Remark replaced satisfies Section sense sequence shows Sobolev Sobolev inequalities Sobolev spaces Step subset of Q subsolution subspace supp Suppose unique solution utilize vanishes variational inequalities weak maximum principle yields Beliebte PassagenSeite 345 - Existence and multiplicity theorems for semilinear elliptic equations with nonlinear boundary conditions. Seite 343 - Duvaut G. and Lions J.-L. Inequalities in mechanics and physics. SpringerVerlag. Berlin and New York. Seite 345 - Kazdan, JL, and Kramer, RJ Invariant criteria for existence of solutions to second-order quasilinear elliptic equations. Commun. Pure Appl. Math. 31, 619645 (1978). Seite 343 - Irregular obstacles and quasi-variational inequalities of stochastic impulse control, Ann. Scuola Norm. Sup. Pisa Cl. Seite 345 - John, F., and Nirenberg, L. On functions of bounded mean oscillation, Commun. Seite 344 - Bilateral evolution problems of non-variational type: existence, uniqueness, Holder-regularity and approximation of solutions, Manuscripta Math. Seite 347 - Moser, J. On Harnack's theorem for elliptic differential equations, Commun. Pure Appl. Math. 14, 577-591 (1961). Seite 344 - Giaquinta, M. Remarks on the regularity of weak solutions to some variational inequalities, Math. Z. 177, 15-31 (1981). Verweise auf dieses BuchAus anderen Büchern
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