On a certain extension of the maximum principle
Výborný, R.
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Výborný, R.
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G. Eskin (1979-1980)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Chaohao Gu (1980)
Journées équations aux dérivées partielles
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Darya E. Apushkinskaya, Alexander I. Nazarov (2000)
Applications of Mathematics
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We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces.
Maurizio Chicco, Marina Venturino (2006)
Bollettino dell'Unione Matematica Italiana
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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.