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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklova, 2002, Volume 236, Pages 204–211 (Mi tm290)

Continuity at a Point for Solutions to Elliptic Equations with a Nonstandard Growth Condition
O. V. Krasheninnikova

This publication is cited in the following articles:
  1. Yu. A. Alkhutov, M. D. Surnachev, “Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions”, Proc. Steklov Inst. Math., 308 (2020), 1–21  mathnet  crossref  crossref  mathscinet  isi  elib
  2. Yu. A. Alkhutov, M. D. Surnachev, “Harnack inequality for the elliptic $p(x)$-Laplacian with a three-phase exponent $p(x)$”, Comput. Math. Math. Phys., 60:8 (2020), 1284–1293  mathnet  crossref  crossref  isi  elib
  3. Yu. A. Alkhutov, M. D. Surnachev, “Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$”, J. Math. Sci. (N. Y.), 244:2 (2020), 116–147  mathnet  crossref  elib
  4. M. D. Surnachev, “O neravenstve Kharnaka dlya $p(x)$-laplasiana”, Preprinty IPM im. M. V. Keldysha, 2018, 069, 32 pp.  mathnet  crossref  elib
  5. Yu. A. Alkhutov, V. V. Zhikov, “Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent”, Sb. Math., 205:3 (2014), 307–318  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  6. Yu. A. Alkhutov, V. V. Zhikov, “Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent”, J. Math. Sci. (N. Y.), 179:3 (2011), 347–389  mathnet  crossref  zmath  elib
  7. Alkhutov Yu.A., Zhikov V.V., “Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity”, Doklady Mathematics, 81:1 (2010), 34–38  crossref  mathscinet  zmath  isi  elib  scopus
  8. Yu. A. Alkhutov, V. V. Zhikov, “Existence theorems for solutions of parabolic equations with variable order of nonlinearity”, Proc. Steklov Inst. Math., 270 (2010), 15–26  mathnet  crossref  mathscinet  zmath  isi  elib
  9. Yu. A. Alkhutov, O. V. Krasheninnikova, “On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity”, Proc. Steklov Inst. Math., 261 (2008), 1–10  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  10. Xu M., Chen Y.Z., “Holder continuity of weak solutions for parabolic equations with nonstandard growth conditions”, Acta Mathematica Sinica–English Series, 22:3 (2006), 793–806  crossref  mathscinet  zmath  isi  scopus
  11. Yu. A. Alkhutov, “Hölder continuity of $p(x)$-harmonic functions”, Sb. Math., 196:2 (2005), 147–171  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
  12. Yu. A. Alkhutov, O. V. Krasheninnikova, “Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition”, Izv. Math., 68:6 (2004), 1063–1117  mathnet  crossref  crossref  mathscinet  zmath  isi  elib


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