Keywords: 35B45; 35J30; 35J40; Carleman estimate; Elliptic operators; Transmission problem and condition; Unique continuation;
مقالات ISI (ترجمه نشده)
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Keywords: 74A60; 74K10; 74K15; 74K20; 35J35; 35J40; 65M12; 65M15; 65M60; 74S05; Generalized continuum; Gradient elasticity; Kirchhoff plate; Isogeometric analysis; Convergence analysis; Error estimates;
Keywords: 35J40; 35B20; 35B27; 35P15; Higher order elliptic operators; Dirichlet; Neumann; Intermediate boundary conditions; Oscillatory boundaries; Homogenization;
Keywords: primary; 35J25; 35J40; 35P15; secondary; 35P05; 46E35; 47A10; 47F05; Krein and Friedrichs extensions of powers of second-order uniformly elliptic partial differential operators; Bounds on eigenvalue counting functions; Spectral analysis; Buckling problem;
Keywords: 35J40; 35J61; 65N06; 65N12Fourth-order elliptic equation; Nonlocal boundary condition; Finite difference system; Method of upper and lower solutions; Monotone iterations; Convergence
Keywords: 35P15; 35J40; 47A75; 47B25Boundary value problems; Domain perturbation; Solutions; Eigenfunctions; Stability estimates
Keywords: 74A60; 74K10; 74K15; 74K20; 35J35; 35J40; 65M12; 65M15; 65M60; 74S05; Gradient elasticity; Plane strain/stress; Variational formulation; Existence and Uniqueness; Isogeometric analysis; Error estimates;
Keywords: 35B06; 35B07; 35J15; 35J40; 35J47Hamiltonian elliptic systems; Hénon weights; Least energy nodal solutions; Foliated Schwarz symmetry; Symmetry-breaking
Keywords: 34K10; 34K30; 35J25; 35J40; 47A60; 92C37Biological cell; Transmission problem; Thin layer; Analytic semigroup
Keywords: 35J40; 35B09; 35J08Biharmonic; Dirichlet boundary conditions; No sign preservation
Keywords: primary; 31A30; secondary; 35J40; Polyharmonic functions; Weighted integrability; Boundary behavior; Cellular decomposition;
Keywords: 35J40; 46E22; 65N12Brinkman–Forchheimer momentum equation; Reproducing kernel method; Boundary value problem; Convergence analysis
Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in RN
Keywords: 35J35; 35J40; 35J60; Fourth order Kirchhoff-type equations; Nehari method; Ground state solution; Least energy sign-changing solution;
W4,pW4,p solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations
Keywords: 35J40; 35B65; 35J96; 53A15Affine mean curvature equation; Abreu's equation; Second boundary value problem; Legendre transform; Linearized Monge–Ampère equation
Classification theorems for solutions of higher order boundary conformally invariant problems, I
Keywords: 35J40; 58J32; 53A30Q-curvature; Conformally invariant equations; Polyharmonic functions; Poisson kernel
A structurally damped plate equation with Dirichlet–Neumann boundary conditions
Keywords: 35K35; 35J40; 42B15Structurally damped plate equation; Clamped boundary condition; RR-sectoriality; Optimal regularity; Operator-valued Fourier multipliers; Exponential stability
On a new embedding theorem and the CLR-type inequality for Euclidean and hyperbolic spaces
Keywords: primary; 34B09; 34L15; 34L25; 34L05; 35J40; 35P15; 35R06; 35R15; 47A75; secondary; 47A07; 47A40; 47A10; 57R40; 58D10; Embedded theorem; Aharonov-Bohm potential; Variational principle; CLR inequality;
Asymptotic behavior of large radial solutions of a polyharmonic equation with superlinear growth
Keywords: 35J40; 35J61; 35B40; 35B44; 34C11; 34E05Higher-order elliptic equations; Polyharmonic equations; Radial solutions; Large solutions; Boundary blow-up; Asymptotic behavior
The polyharmonic Dirichlet problem and path counting
Keywords: 35J40; 05A15; 31B30; 41A63Dyck paths; Surface splines; Total positivity; Boundary layer potentials
Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space
Keywords: 31B10; 31B30; 35J40; Polyharmonic functions; Dirichlet problems; Higher order Poisson kernels; Integral representation;
Infinitely many solutions for a perturbed nonlinear Navier boundary value problem involving the pp-biharmonic
Keywords: 35J40; 58E05Infinitely many solutions; pp-biharmonic type operators; Navier boundary value problem; Critical point theory
Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball
Keywords: 34B27; 35J40; 35B40; Green function; Kato class; Positive solution; Nonlinear polyharmonic equation; Asymptotic behavior; Schauder fixed point theorem;
Positive solutions of semilinear biharmonic equations with critical Sobolev exponents
Keywords: 35J35; 35J40; 58E30Critical Sobolev exponent; Biharmonic equation; Positive solutions
Global existence for nonlocal MEMS
Keywords: 35G30; 35J40; 35R09Nonlinear nonlocal elliptic equations; Steklov boundary conditions; Implicit Function Theorem; Fourth order integro-differential PDE; MEMS and NEMS
Nontrivial solutions for critical potential elliptic systems
Keywords: 35J65; 49K20; 35J40; Critical Sobolev exponents; Potential systems; Nonlinear eigenvalues; Coercivity;
Finite Morse index solutions of an elliptic equation with supercritical exponent
Keywords: primary; 35B45; secondary; 35J40; Positive solutions; Supercritical exponent; Stable solutions; Finite Morse index;
Multiple and sign-changing solutions for nonlinear elliptic equation with critical potential and critical parameter
Keywords: nonlinear elliptic equation; critical potential; linking46E35; 35J40
Noncoercive sums of squares in R[x1,…,xn]R[x1,…,xn]
Keywords: 12D15; 11E25; 35J30; 35J40
Three-dimensional image reconstruction using the PF/MFS technique
Keywords: Implicit geometric modeling; Surface reconstruction; Potential field method; Method of fundamental solutions; Laplace's equation; Biharmonic Dirichlet problemprimary 65D17; 65D35; secondary 35J05; 35J40
Multiplicity of solutions for a class of fourth elliptic equations
Keywords: 35J35; 35J40; 49J40∇∇-condition; Linking; Biharmonic equation
Infinitely many sign-changing solutions for a class of biharmonic equation without symmetry
Keywords: 35J40; 35J60Sign-changing solutions; (PS) condition; Intersection theorem
A Bahri–Lions theorem revisited
Keywords: 35J20; 35J25; 35J35; 35J40; 35J50; 35J55; 58E05Semilinear elliptic equations; Biharmonic operator; Elliptic systems; Perturbation from symmetry; Sign-changing solutions; Variational methods
Transition layer for the heterogeneous Allen–Cahn equation
Keywords: 35J25; 35J40; 35B34; 35B40Fife–Greenlee problem; Heterogeneous Allen–Cahn equation; Interior transition layers; Spectral gaps
Generic simplicity of the eigenvalues for a supported plate equation
Keywords: 35J40; 35B30; 58C40Biharmonic equations; Bilaplacian operator; Generic properties; Boundary perturbations
Differential quadrature method based on the highest derivative and its applications
Keywords: 35J40; 65N35; 73V20Differential quadrature method; Differentiation equation; Function approximation; Derivative approximation
A continuum of unusual self-adjoint linear partial differential operators
Keywords: primary; 35J40; 35J67; 35P05; secondary; 32A36; 32A40; 47B25; Linear partial differential equations; Self-adjoint partial differential equations; Spectral theory;
Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems
Keywords: 65N06; 65N22; 35J40; Fourth-order elliptic equations; Finite difference solution; Monotone method; Rate of convergence; Global error; Stability;
Application of finite-difference methods to membrane-mediated protein interactions and to heat and magnetic field diffusion in plasmas
Keywords: 35J40; 35K15; 65N06; 65N22; 65F5087.14.Cc; 87.15.Kg; 61.30.Dk; 52.25.Xz; 52.55.−s; 44.05.+eFinite-difference method; Elliptic and parabolic equations; Membrane-mediated interaction; Heat; Magnetic field; Diffusion
Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary
Keywords: 35B27; 35B40; 35C20; 35J40; 35J70Nonlinear higher-order elliptic equation; Degeneracy; Muckenhoupt class; Asymptotic expansion; Limit problem; Model problem; Variables domains; Homogenization
Multiple clustered layer solutions for semilinear Neumann problems on a ball
Keywords: primary; 35B40; 35B45; secondary; 35J40; 92C40; Multiple clustered layers; Singularly perturbed Neumann problem;
Spikes in two coupled nonlinear Schrödinger equations
Keywords: primary; 35B40; 35B45; secondary; 35J40; Coupled nonlinear Schrödinger equations; Least energy solutions; Spikes; Sphere-packing;
Positive solutions in semilinear critical problems for polyharmonic operators
Keywords: 35J35; 35J40; 35J60; Polyharmonic operators; Semilinear critical problems; Topological methods;