Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems

zbMath0428.35013MaRDI QIDQ1137172

Sergio Campanato

Publication date: 1978

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1978__59__147_0

zbMATH Keywords

Hausdorff measureestimatestrong ellipticity conditionregularity assumptionsnonlinear strongly elliptic systemquasilinear system of fourth order

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Lipschitz (Hölder) classes (26A16) Nonlinear elliptic equations (35J60)

Related Items (6)

Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth ⋮ Differentiability of the solutions of nonlinear elliptic systems with natural growth ⋮ Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth ⋮ \(L^ p \)regularity and partial Hölder continuity for solutions of second order parabolic systems with strictly controlled growth ⋮ Unnamed Item ⋮ Almost-everywhere regularity results for solutions of nonlinear elliptic systems

Cites Work

• Nonlinear elliptic systems with quadratic growth
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• Linear and quasilinear elliptic equations
• Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
• Maggiorazioni interpolatorie negli spazi \(H_\lambda^{m,p}(\Omega)\)
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