Keywords: primary; 35K57; 35B10; 35B50; secondary; 35P05; Periodic-parabolic problems; Maximum principle; Principal eigenvalue; Positivity of the resolvent; Positive strict supersolution;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 35K59; 35B35; secondary; 35K20; 35B50; 35B51; Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model;
Keywords: 35C15; 35C04; 35S15; 35B50; Boggio's formula; s-harmonic functions; Maximum principles;
Keywords: 35K20; 35B50; Navier-Stokes equations; Partial regularity; Minkowski dimension; Singular set;
Keywords: 60G15; 39B62; 52A40; 35K65; 35B50; Ehrhard-Borell inequality; Equality cases; Gaussian measures; Gaussian Brunn-Minkowski inequalities; Degenerate parabolic equations;
Keywords: convection diffusion reaction equation; pointwise estimate; Green function; energy method; 35B50; 35B65; 35D30;
Keywords: 35B65; 35M10; 35B50; 35B45; 35J62; 35K65; 35J70; Parabolic equations; Elliptic equations; Elliptic-parabolic equations; Forward-backward parabolic equations; Mixed type equations; Weighted Sobolev spaces; Local boundedness;
Keywords: 35R30; 35R11; 35B50; Inverse source problem; Fractional diffusion equation; Harnack's inequality; Strong maximum principle;
Keywords: 35B50; 35C07; 35K08; 35K57; Hematopoiesis; Age-structured population; Reaction-diffusion system with delay; Difference equation; Traveling wave front; Asymptotic speed of spread;
Keywords: 35B05; 35B50; 35N05; 35S15The fractional Laplacian; The overdetermined problems; Radial symmetry; Method of moving planes
Keywords: 47D07; 35B50; 35J25; 35J70Uniqueness; Elliptic operators; Discontinuous coefficients; Generation results; Analytic semigroups
Keywords: primary; 35B45; secondary; 35J92; 35B50; Gradient estimate; Prescribed mean curvature equation; Neumann boundary value problem;
Keywords: 35B65; 35M10; 35B50; 35B45; 35J62; 35K65; 35J70Elliptic–parabolic equations; Forward–backward parabolic equations; Mixed type equations; Weighted Sobolev spaces; Harnack's inequality; Hölder-continuity
Keywords: 35B50; 35D40; 35K65; 36S05; 74G45; 86A05; Maximum principle; Degenerate parabolic equation; Flows in porous medium; Hydrology;
Keywords: 35P30; 35B50; 35J70Principal eigenvalue; Maximum Principle; Degenerate elliptic equation; Viscosity solution
Keywords: 35K10; 35K20; 49L25; 53C44; 35B50; 35B05Viscous Hamilton–Jacobi equations; Generalized Dirichlet problem; Strong comparison result; Viscosity solutions; p-Laplacian
Keywords: 35B50; 35D30; 35J15Strong maximum principle; Singular elliptic equations; Weak solutions; Differential inequalities
Keywords: 31B05; 35B50; 35B09Harmonic functions; Nodal set; Boundary Harnack principle; Maximum principle; Gradient estimates; Harnack inequality; Harmonic polynomials
Keywords: 35B08; 35B40; 35B50; 35C07; 35K57Travelling waves; Heterogeneous reaction–diffusion equations; Monostable equations; Bistable equations; Ignition-type equations; Zero set of solutions of parabolic equations
Keywords: 35J62; 35J92; 35D30; 35B45; 35B05; 35B65; 35B50; 58J05W1,pW1,p-extension domains; Upper d-Ahlfors measure; Nonlocal boundary conditions; Hölder continuity
Keywords: 35N25; 35B50; 35J60Overdetermined problems; Fully nonlinear equations; Curvature flow; Maximum principles
Keywords: 35L80; 35D30; 35D35; 35C15; 35P15; 35B50; 35B51; 35A16; 35B33Degenerate hyperbolic equations; Generalized solutions; Integral representation of solutions; Spectral theory; Maximum and comparison principles; Topological methods of nonlinear analysis; Criti
Aleksandrov-Bakelman-Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE
Keywords: 35R09; 35B50; 35D35; 45K05; 93E20; Integro-PDE; Aleksandrov-Bakelman-Pucci maximum principle;
Large time monotonicity of solutions of reaction-diffusion equations in RN
Keywords: 35K57; 35B40; 35B50; Reaction diffusion equation; Monotonicity properties; Qualitative analysis;
On the moving plane method for singular solutions to semilinear elliptic equations
Keywords: 35J61; 35B06; 35B50; Semilinear elliptic equations; Singular solutions; Qualitative properties;
General properties of solutions to inhomogeneous Black–Scholes equations with discontinuous maturity payoffs
Keywords: 35C15; 35K15; 35B50; 35Q91Black–Scholes equation; Inhomogeneous; Min–max estimates; Monotonicity; Convexity; Defaultable coupon bond
The Stampacchia maximum principle for stochastic partial differential equations and applications
Keywords: 35R60; 60H15; 35B50; 35B51Stochastic partial differential equations; Maximum principle; Stampacchia comparison techniques; Truncation techniques; Nonlinear multiplicative noise
Weak solutions for an initial–boundary Q-tensor problem related to liquid crystals
Keywords: 35A01; 35A02; 35B50; 35D30; 35K51; 35Q35; 76A15; 76D03; 76D05Navier–Stokes equations; Weak solution; Uniqueness; Maximum principle; Symmetry; Traceless
The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations
Keywords: 35B50; 35B53; 35B06; 35D40Viscosity solutions; Fully nonlinear equation; Pucci's extremal operators; Maximum principle; Radial symmetry; Punctured ball
Large solutions with a power nonlinearity given by a variable exponent for pp-Laplacian equations
Keywords: 35B50; 35J65; 35B32pp-Laplacian equations; A variable exponent; Boundary blow-up solutions; Existence and uniqueness; Blow-up rate
An Omori–Yau maximum principle for semi-elliptic operators and Liouville-type theorems
Keywords: 35B50; 35B53; 31B05Omori–Yau maximum principle; Liouville-type theorem; Subharmonic function
Two-dimensional curved fronts in a periodic shear flow
Keywords: 35B40; 35B50; 35J60Curved fronts; Reaction–advection–diffusion equation; Minimal speed; Monotonicity of curved fronts
Large solution to nonlinear elliptic equation with nonlinear gradient terms
Keywords: 35J25; 35B50; 65J65; 35J60Large solutions; Nonlinear gradient terms; Karamata regular variation theory; Singular elliptic equation
Discrete maximum principle for parabolic problems solved by prismatic finite elements
Keywords: 65M60; 65M20; 65M50; 35B50; 35K20Parabolic problem; Maximum principle; Prismatic finite elements; Discrete maximum principle
Existence and regularity for a nonlinear boundary flow problem of population genetics
Keywords: 35K55; 35K60; 35J60; 35J65; 35B50; 35B65Semilinear parabolic problems; Semilinear elliptic problems; Nonlinear boundary conditions; Population genetics
Numerical quenching for the semilinear heat equation with a singular absorption
Keywords: 35B50; 35K57; 65M06Numerical quenching; Semilinear heat equation; Singular absorption
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
Keywords: 65N30; 65N50; 35B50; 35J25Diffusion-reaction problem; Maximum principle; Prismatic finite elements; Discrete maximum principle
Solving sharply a singular semilinear elliptic equation
Keywords: 35J65; 35B50; 34B16; 34B18; Semilinear; Singular; Maximum principle; Positive solution; Fixed point; Cone;
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems
Keywords: 35B50; 35J25; 65N30; 65N22Anisotropic diffusion; Discrete maximum principle; Nonnegativity constraints; Finite element method; Gradient recovery; Slope limiting
Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures
Keywords: 65F10; 35B50; Homogenization; Multiscale asymptotic method; Elastic equations; Honeycomb structure; Multiscale finite element method;
Traveling fronts in space–time periodic media
Keywords: 35P15; 35B40; 35B50; 35B65; 35K57; 35K65Reaction–diffusion equations; Pulsating traveling fronts; Parabolic periodic operators; Maximum principles
Structure of least-energy solutions for quasilinear elliptic equations on convex domains
Keywords: 35B40; 35B50; 35J60; 35J70Quasilinear elliptic problem; Spike-layer solution; Moving plane method
Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients
Keywords: 35K50; 35B50; Nonlinear parabolic systems; Maximum principle; Decay bounds;
Equidistributed error mesh for problems with exponential boundary layers
Keywords: 35B50; 65N60Convection–diffusion equation; Exponential boundary layer; Finite element method; Optimal mesh; Shishkin mesh; Bakhvalov mesh
A boundary blow-up elliptic problem with an inhomogeneous term
Keywords: 35J60; 35B25; 35B50; 35R05A semilinear elliptic equation; Large solutions; An inhomogeneous term; A weight; The exact asymptotic behaviour
Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms
Keywords: 35J25; 35B50; 35J40Large solutions; Quasilinear elliptic equation; Asymptotic behavior
Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM
Keywords: 35B50; 65N60Constrained approximation; Hanging nodes; hp-FEM; Automatic hp-adaptivity
On discrete maximum principles for nonlinear elliptic problems
Keywords: 65N30; 65N50; 35B50; 35J65Nonlinear elliptic problem; Mixed boundary conditions; Discrete maximum principle; Finite element method; Quadratures
A weak discrete maximum principle for hp-FEM
Keywords: 35B50; 65N60Discrete maximum principle; Poisson equation; hp-FEM; Higher-order elements
On radial solutions of certain semi-linear elliptic equations
Keywords: 35B05; 35B50; 35J60Radial solution; Nonlinear differential equation