## Found 258 Documents (Results 1–100)

100
MathJax

### Lower order terms in divergence form versus lower order terms with natural growth in some Dirichlet problems. (English)Zbl 07524912

MSC:  35J15 35J25 35J62
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### Local boundedness for solutions of a class of nonlinear elliptic systems. (English)Zbl 07500321

MSC:  35J47 35B65
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### On the $$W^2_p$$ estimate for oblique derivative problem in Lipschitz domains. (English)Zbl 07487100

MSC:  35B45 35B65 35J25
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### Improved approximations of resolvent in homogenization of higher order operators. (English. Russian original)Zbl 1477.35022

J. Math. Sci., New York 259, No. 2, 230-243 (2021); translation from Probl. Mat. Anal. 112, 105-116 (2021).
MSC:  35B27 35B45 35J30
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### Barrier solutions of elliptic differential equations in Musielak-Orlicz-Sobolev spaces. (English)Zbl 1479.35301

MSC:  35J25 35J62 35A01
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### An interpolating inequality for solutions of uniformly elliptic equations. (English)Zbl 1473.35080

Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 233-245 (2021).
MSC:  35B45 35J15
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### Optimization of the principal eigenvalue for elliptic operators. (English)Zbl 1473.35167

MSC:  35J25 35P05
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### Local boundedness for weak solutions to some quasilinear elliptic systems. (English)Zbl 1472.35135

MSC:  35J47 35J62 35B65
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### A nonlinear homotopy between two linear Dirichlet problems. (English)Zbl 1472.35124

MSC:  35J25 35J60
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### Improved approximations of resolvents in homogenization of fourth order operators. (English. Russian original)Zbl 1465.35039

J. Math. Sci., New York 255, No. 4, 488-502 (2021); translation from Probl. Mat. Anal. 108, 125-137 (2021).
MSC:  35B27 35B45 35J30
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### Hessian estimates for non-divergence form elliptic equations arising from composite materials. (English)Zbl 1472.35120

MSC:  35J15 35B65
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### Propagation of smallness in elliptic periodic homogenization. (English)Zbl 1456.35021

MSC:  35B27 35J61 35C15
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### Stochastic homogenization of elliptic equations. (English)Zbl 1467.35004

Kenig, Carlos E. (ed.) et al., Harmonic analysis and applications. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 27, 131-154 (2020).
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### Quantitative homogenization of elliptic operators with periodic coefficients. (English)Zbl 1467.35003

Kenig, Carlos E. (ed.) et al., Harmonic analysis and applications. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 27, 73-130 (2020).

### On the existence and multiplicity of topologically twisting incompressible $$H$$-harmonic maps and a structural $$H$$-condition. (English)Zbl 1464.35105

MSC:  35J57 35J60 35J50
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### $$L^2$$-approximation of resolvents in homogenization of higher order elliptic operators. (English. Russian original)Zbl 1453.35016

J. Math. Sci., New York 251, No. 6, 902-925 (2020); translation from Probl. Mat. Anal. 107, 113-132 (2020).
MSC:  35B27 35J30
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### On the relation between weak solutions of elliptic Dirichlet and Neumann boundary-value problems for plane simply connected domains. (English. Russian original)Zbl 1442.35100

Math. Notes 107, No. 1, 27-41 (2020); translation from Mat. Zametki 107, No. 1, 32-48 (2020).
MSC:  35J25
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### Generic simplicity of spectral edges and applications to homogenization. (English)Zbl 1453.35062

MSC:  35J15 35J62
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### Precised approximations in elliptic homogenization beyond the periodic setting. (English)Zbl 1442.35091

MSC:  35J15 35B27
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### A probabilistic proof of a priori $$L^p$$ estimates for a class of divergence form elliptic operators. (English)Zbl 1440.35062

MSC:  35J15 35B45
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### Existence of renormalized solutions for some nonlinear elliptic equations in Orlicz spaces. (English)Zbl 1437.35281

MSC:  35J60 35J25 35A01
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### Breaking through borders with $$\sigma$$-harmonic mappings. (English)Zbl 1437.35344

MSC:  35J62 35J25
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### A boundary-domain integral equation method for an elliptic Cauchy problem with variable coefficients. (English)Zbl 1428.35115

Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 493-501 (2019).
MSC:  35J25 65N21
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MSC:  35J25
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### Pointwise estimates of solutions to semilinear elliptic equations and inequalities. (English)Zbl 1421.35073

MSC:  35J15 58J05 35B09
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### Besov regularity for solutions of $$p$$-harmonic equations. (English)Zbl 1418.35149

MSC:  35J60 35B65
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### Functional solutions for problems of heat and mass transfer. (English)Zbl 1412.34238

MSC:  34L99 35J66 80A20
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### Renormalized solution of elliptic equations with singular measure in the source term. (English)Zbl 1454.35141

MSC:  35J60 35J25 35J75
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### On correctors for linear elliptic homogenization in the presence of local defects. (English)Zbl 1423.35092

MSC:  35J15 35A01 35A02
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### An application of a theorem of G. Zwirner to a class of non-linear elliptic systems in divergence form. (English)Zbl 1404.35164

MSC:  35J57 34B09
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### BMO solvability and $$A_\infty$$ condition of the elliptic measures in uniform domains. (English)Zbl 1398.35042

MSC:  35J25 35J62
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### Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. (English)Zbl 1387.35071

MSC:  35B45 35J08
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### Optimal elliptic regularity: a comparison between local and nonlocal equations. (English)Zbl 1383.35044

MSC:  35B65 35J15
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### The multiplicity of positive solutions to a quasilinear equation generated by the Il’in-Caffarelli-Cohn-Nirenberg inequality. (English. Russian original)Zbl 1378.35136

J. Math. Sci., New York 224, No. 3, 448-455 (2017); translation from Zap. Nauchn. Semin. POMI 444, 98-109 (2016).
MSC:  35J62 35A15 35J20
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### Homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder. (English)Zbl 1373.35036

MSC:  35B27 35J25
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### Global $$L^\infty$$-estimates and Hölder continuity of weak solutions to elliptic equations with the general nonstandard growth conditions. (English)Zbl 1375.35127

MSC:  35J15 35J20
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### Mesoscopic higher regularity and subadditivity in elliptic homogenization. (English)Zbl 1357.35025

MSC:  35B27 35R60 35B65
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### Geometric regularity estimates for elliptic equations. (English)Zbl 1348.35046

de la Peña, José A. (ed.) et al., Mathematical congress of the Americas. First mathematical congress of the Americas, Guanajuato, México, August 5–9, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2310-0/pbk; 978-1-4704-2867-9/ebook). Contemporary Mathematics 656, 185-201 (2016).
MSC:  35B65 35J60 35J92
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### Estimates on elliptic equations that hold only where the gradient is large. (English)Zbl 1344.35049

MSC:  35J70 35B45 49L25
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### Global estimates for non-uniformly nonlinear elliptic equations in a convex domain. (English)Zbl 1339.35067

MSC:  35B45 35J25 35J62
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### Elliptic regularity theory. A first course. (English)Zbl 1346.35001

Lecture Notes of the Unione Matematica Italiana 19. Cham: Springer; Bologna: UMI (ISBN 978-3-319-27484-3/pbk; 978-3-319-27485-0/ebook). xii, 201 p. (2016).
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### On Kato’s conjecture and mixed boundary conditions. (English)Zbl 1336.35002

Göttingen: Sierke; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-86844-719-4/pbk; 978-3-86844-720-0/ebook). xviii, 360 p. (2015).
MSC:  35-02 47F05 35J25

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### The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators. (English)Zbl 1309.35034

MSC:  35J87 35B05
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### Invariance of flows in doubly-connected domains with the same modulus. (English)Zbl 1308.30044

MSC:  30E25 35J66 35J57
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### The boundary Harnack principle for second order elliptic equations in John and uniform domains. (English)Zbl 1311.35042

Apushkinskaya, Darya (ed.) et al., Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9–13, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1551-8/hbk). Translations. Series 2. American Mathematical Society 232, 153-176 (2014).

### Applications of Fourier analysis in homogenization of Dirichlet problem. III: Polygonal domains. (English)Zbl 1331.35030

MSC:  35B27 42B20
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### Explicit estimates for solutions of mixed elliptic problems. (English)Zbl 1302.35142

MSC:  35J15 35J08
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### Semi linear parabolic equations with nonlinear general Wentzell boundary conditions. (English)Zbl 1279.35053

MSC:  35J66 47H20
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### Elliptic extensions in the disk with operators in divergence form. (English)Zbl 1278.35060

MSC:  35J15 35D30
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### Schauder theory for Dirichlet elliptic operators in divergence form. (English)Zbl 1284.47032

MSC:  47F05 35J40 35B45
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### Coarse approximation of an elliptic problme with higly oscillatory coefficients. (Approximation grossière d’un problème elliptique à coefficients hautement oscillants.) (French. Abridged English version)Zbl 1270.35064

MSC:  35B27 65M60 35J25
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### An optimal geometric condition on domains for boundary differentiability of solutions of elliptic equations. (English)Zbl 1264.35076

MSC:  35B65 35J25
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