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Some estimates of solutions of degenerate \((k,0)\)-elliptic equations. (English. Russian original) Zbl 0216.37901
Math. Notes 8(1970), 820-826 (1971); Translation from Mat. Zametki 8, 625-634 (1970).

MSC:
35J70 Degenerate elliptic equations
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[1] S. N. Kruzhkov, ?Some properties of solutions of elliptic equations,? Dokl. Akad. Nauk SSSR, 150, No. 3, 470?473 (1963). · Zbl 0148.35701
[2] S. N. Kruzhkov, ?Some properties of solutions of elliptic equations,? Matem. Sb.,65, No. 4, 522?570 (1964). · Zbl 0178.45901
[3] L. P. Kuptsov, ?A space of functions whose first derivatives in variable directions raised to the p-th power are integrable,? Trudy Matem. In-ta, Akad. Nauk SSSR, 103, 96?116 (1968). · Zbl 0205.12701
[4] L. P. Kuptsov, ?Harnack’s inequality for generalized solutions of degenerate second-order elliptic equations,? Diff. Uravneniya,4, No. 1, 110?122 (1968).
[5] S. N. Kruzhkov and L. P. Kuptsov, ?Harnack’s inequality for solutions of second-order elliptic differential equations,? Vestnik Mosk. Un-ta, Ser. Matem., No. 3, 3?14 (1964).
[6] F. John and L. Nirenberg, ?On functions of bounded mean oscillations,? Comm. Pure Appl. Math.,14, 415?426 (1961). · Zbl 0102.04302 · doi:10.1002/cpa.3160140317
[7] J. Serrin, ?Local behavior of solutions of quasilinear equations,? Acta Math. 111, Nos. 3?4, 247?302 (1964). · Zbl 0128.09101 · doi:10.1007/BF02391014
[8] N. S. Trudinger, ?On Harnack-type inequalities and their applications to quasilinear elliptic partial differential equations,? Comm. Pure Appl.,20, 721?747 (1967). · Zbl 0153.42703 · doi:10.1002/cpa.3160200406
[9] L. P. Kuptsov, ?Harnack’s inequality for generalized solutions of nonlinear second-order (k, 0)-elliptic equations,? Diff. Uraveniya,6, No. 1, 147?156 (1970).
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