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2012, Graduate studies in mathematics, ISBN 9780821875773, Volume 134, xviii, 414
Book
Calculus of variations and partial differential equations, ISSN 1432-0835, 10/2010, Volume 42, Issue 1-2, pp. 21 - 41
Journal Article
2018, ISBN 9783319743066, 669
This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains... 
Mathematics | Potential Theory | Mathematics and Statistics | Partial Differential Equations | Neumann problem | Dirichlet problem | Poisson equation | Transmission problem | Derivative oblique problem | Robin problem
eBook
2015, Other titles in applied mathematics, ISBN 9781611973815, Volume 141, xi, 293
Book
Communications in partial differential equations, ISSN 0360-5302, 11/2017, Volume 42, Issue 11, pp. 1781 - 1836
In this paper, we consider the problem of identifying a connection ∇ on a vector bundle up to gauge equivalence from the Dirichlet-to-Neumann map of the connection Laplacian... 
35R30 (Primary) | Connection Laplacian | Dirichlet-to-Neumann map | inverse problems | X-ray transform | magnetic Schrödinger operator | Calderon problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Bundling | Manifolds | Equivalence | Gaussian beams (optics) | Uniqueness | Geometrical optics | Dirichlet problem | Bundles
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 03/2014, Volume 101, Issue 3, pp. 275 - 302
We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional Laplacian... 
Fractional Laplacian | Dirichlet problem | Boundary regularity | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Boundary element methods
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 04/2014, Volume 26, Issue 3, p. 1450005
.... The problem can be reformulated in terms of Dirichlet–Neumann operators, and as a side result, we derive a formula for the shape derivative of these operators. 
eigenvalue problems | Dirichlet-Neumann operators | perturbation theory | pseudodifferential operators | Physical Sciences | Physics | Physics, Mathematical | Science & Technology
Journal Article
1994, De Gruyter expositions in mathematics, ISBN 9783110135220, Volume 13., vii, 524
Book
1923, 14
Book
Journal of spectral theory, ISSN 1664-039X, 2017, Volume 7, Issue 2, pp. 321 - 359
The Steklov problem is an eigenvalue problem with the spectral parameter in the boundary conditions, which has various applications... 
Riemannian manifold | Dirichlet-to-Neumann operator | Steklov eigenvalue problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Calculus of variations and partial differential equations, ISSN 0944-2669, 2/2019, Volume 58, Issue 1, pp. 1 - 26
...Calc. Var. (2019) 58:34 https://doi.org/10.1007/s00526-018-1468-x Calculus of Variations The Helfrich boundary value problem Sascha Eichmann 1 Received: 13... 
35J40 | 58J32 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 49Q10 | 35J35 | 49Q20 | Physical Sciences | Mathematics, Applied | Science & Technology | Mathematics - Analysis of PDEs
Journal Article
Calculus of variations and partial differential equations, ISSN 1432-0835, 12/2017, Volume 57, Issue 1, pp. 1 - 15
We give a necessary and sufficient condition for positive Borel measures such that the Dirichlet problem, with zero boundary data, for the complex Monge... 
35J96 | 32U40 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C55 | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Computer science
Journal Article
Calculus of variations and partial differential equations, ISSN 0944-2669, 2/2018, Volume 57, Issue 1, pp. 1 - 26
We study the following elliptic problem $$-A(u) = \lambda u^q$$ -A(u)=λuq with Dirichlet boundary conditions, where $$A(u) (x) = \Delta u (x) \chi _{D_1} (x)+ \Delta _p u(x) \chi _{D_2}(x)$$ A(u)(x)=Δu(x)χD1(x)+Δpu(x)χD2(x... 
35J20 | 35J62 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35J92 | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology
Journal Article
1991, Lecture notes in mathematics, ISBN 3540544860, Volume 1482., vi, 173
Book
Communications in Contemporary Mathematics, ISSN 0219-1997, 02/2017, Volume 19, Issue 1, p. 1550088
In this paper, we study a highly nonlocal parametric problem involving a fractional-type operator combined with a Kirchhoff-type coefficient... 
variational methods | Kirchhoff equation | vibrating string | multiple weak solutions | fractional Laplacian | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 08/2017, Volume 27, Issue 9, p. 1750136
Journal Article
Advanced Nonlinear Studies, ISSN 1536-1365, 07/2017, Volume 17, Issue 3, pp. 429 - 456
This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator... 
35J20 | Stationary Kirchhoff–Dirichlet Problems | Critical Nonlinearities | 35J60 | Hardy Coefficients | 35R11 | Variational Methods | 35S15 | Stationary Kirchhoff-Dirichlet Problems | Nonlocal p-Laplacian Operators | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 03/2019, Volume 21, Issue 2, p. 1850019
In this paper, we deal with the composite plate problem, namely the following optimization eigenvalue problem: inf ρ ∈ P inf u ∈ \ { 0 } ∫ Ω ( Δ u ) 2 ∫ Ω ρ... 
symmetry of solutions | polarization | biharmonic operator | optimization of eigenvalues | Composite plate problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Analysis of PDEs
Journal Article