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Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 6/2016, Volume 23, Issue 3, pp. 1 - 30
Journal Article
Advances in Nonlinear Analysis, ISSN 2191-9496, 05/2018, Volume 7, Issue 2, pp. 139 - 148
In the very recent paper [ ], the second author proved that for any , the fully nonlinear first order system is well posed in the so-called J. L. Lions space... 
Baire category method | 35J60 | elliptic first order systems | Cauchy–Riemann equations | 35J47 | 35J46 | compensated compactness | convex integration | 32W50 | calculus of variations | Cordes’ condition | 35D30 | fully nonlinear systems | 32A50 | Campanato’s near operators | Campanato's near operators | Cordes' condition | Cauchy-Riemann equations | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2017, Volume 263, Issue 1, pp. 641 - 686
We introduce a new theory of generalised solutions which applies to fully nonlinear PDE systems of any order and allows for merely measurable maps as... 
Young measures | Generalised solutions | Baire Category method | Laplacian | Fully nonlinear systems | Campanato's near operators | SINGULAR SOLUTIONS | MATHEMATICS | MAPS | infinity-Laplacian | EQUATION | MINIMIZATION PROBLEMS
Journal Article
Revista matemática complutense, ISSN 1988-2807, 2017, Volume 31, Issue 2, pp. 287 - 331
We consider the commutators [b, T] and $$[b,I_{\rho }]$$ [b,Iρ] , where T is a Calderón–Zygmund operator, $$I_{\rho }$$ Iρ is a generalized fractional integral... 
Commutator | Campanato space | Mathematics | Variable growth condition | Topology | Morrey space | Geometry | 42B35 | Algebra | 42B25 | Analysis | Singular integral | 46E30 | 42B20 | Fractional integral | Mathematics, general | Applications of Mathematics
Journal Article
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, ISSN 1021-9722, 05/2016, Volume 23, Issue 3
.... The proof is based on the solvability of the linearised problem by Fourier transform methods, together with a "perturbation device" which allows to use Campanato's near operators. We also discuss our hypothesis via counterexamples and give a stability theorem of strong global solutions for systems of the form (1). 
SINGULAR SOLUTIONS | MATHEMATICS, APPLIED | NEARNESS | Fully nonlinear systems | Elliptic 2nd order systems | Campanato's near operators | Convex Integration | SOLVABILITY | Calculus of Variations | Cordes' condition | MINIMIZATION PROBLEMS | MAPS | Baire Category method | DIRICHLET PROBLEM | EQUATION | OPERATORS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2020, Volume 484, Issue 1, p. 123663
.... This work is related to the Birkhoff-James orthogonality and to the concept of near operators introduced by S. Campanato. 
Campanato nearness | Söderlind-Campanato lemma | Neumann lemma | Birkhoff-Kakutani-Day-James theorem | Birkhoff-James orthogonality | Casazza-Christenses lemma | Soderlind-Campanato lemma | MATHEMATICS | MATHEMATICS, APPLIED | OPERATORS
Journal Article
Mathematische Nachrichten, ISSN 1522-2616, 2019, Volume 292, Issue 6, pp. 1392 - 1407
Given a Lipschitz domain D⊂Rd, a Calderón–Zygmund operator T and a modulus of continuity ω(x... 
truncated Calderón–Zygmund operators | Campanato spaces | 42B20 | T1 theorem | MATHEMATICS | HARDY-SPACES | truncated Calderon-Zygmund operators | SOBOLEV SPACES
Journal Article
Journal of function spaces, ISSN 2314-8896, 1/2014, Volume 2014, pp. 1 - 11
< ∞ , but not on L 1 . Using Orlicz spaces, we can investigate the boundedness of the maximal operator near p = 1 more precisely (see [6–8]). It is well known that the Riesz... 
MATHEMATICS | MATHEMATICS, APPLIED | MAXIMAL FUNCTIONS | CAMPANATO SPACES | INEQUALITY | HARDY-SPACES | EQUATIONS | BOUNDEDNESS | INTEGRAL-OPERATORS | Function space | Commutators
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 2012, Volume 24, Issue 2, pp. 1007 - 1051
Journal Article
HOKKAIDO MATHEMATICAL JOURNAL, ISSN 0385-4035, 02/2019, Volume 48, Issue 1, pp. 99 - 140
.... If geometric behavior of the velocity vector field near the maximum point has a kind of stationary Euler flow configuration up to a possible blowup time, then the solution can be extended to be the strong solution beyond the possible blowup time. As another application we also mention the Cauchy problem for the Navier-Stokes equation. 
BMO | blowup criterion | HARDY-SPACES | REGULARITY CRITERION | Cauchy problem | UNIQUENESS | 3D Navier-Stokes equation | MATHEMATICS | stationary 3D Euler flow | MORREY | POINTWISE MULTIPLIERS | Campanato spaces with variable growth condition | INTEGRAL-OPERATORS | WEAK SOLUTIONS
Journal Article
Mathematische Annalen, ISSN 0025-5831, 11/2006, Volume 336, Issue 3, pp. 617 - 637
...Math. Ann. (2006) 336: 617–637 DOI 10.1007/s00208-006-0014-x Mathematische Annalen Applications of the differential calculus to nonlinear elliptic operators... 
35J65 | 58C15 | 35R05 | DERIVATIVE PROBLEM | MATHEMATICS | VMO COEFFICIENTS | LINEAR EQUATIONS | SOBOLEV-CAMPANATO SPACES | BOUNDARY-VALUE-PROBLEMS | BMO COEFFICIENTS | NONSMOOTH DATA | MEAN OSCILLATION | DOMAINS
Journal Article
10/2000, ISBN 3527401350, 12
... 3.1.3 Near Operators in Hilbert Spaces 
discontinuous coefficients | Hilbert spaces | nonlinear operators | Campanato's condition
Book Chapter
Acta Applicandae Mathematicae, ISSN 0167-8019, 12/2015, Volume 140, Issue 1, pp. 1 - 9
Journal Article
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