Keywords: پتانسیل منحصر به فرد; Generalized uncertainty principle; Minimal length; Inverse square potential; Singular potential;
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Keywords: پتانسیل منحصر به فرد; Corner-degenerate elliptic operators; Singular potential; Corner type Hardy inequality; Sign changing solution
Keywords: پتانسیل منحصر به فرد; Heat equation; Singular potential; Optimal control; Sensitivity analysis
Keywords: پتانسیل منحصر به فرد; 35J60; 35J70Infinitely degenerate elliptic equations; Logarithmic Sobolev inequality; Hardy's inequality; Singular potential
Keywords: پتانسیل منحصر به فرد; Critical exponent; Singular potential; Extremal value; Singular nonlinearity; Multiple solutions
Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
Keywords: پتانسیل منحصر به فرد; Nonlocal parabolic equation; Singular potential; Arbitrary initial energy; Global existence; Blow-up; Blow-up time;
On the stochastic Cahn-Hilliard equation with a singular double-well potential
Keywords: پتانسیل منحصر به فرد; 35K25; 35R60; 60H15; 80A22; Stochastic Cahn-Hilliard equation; Singular potential; Well-posedness; Regularity; Variational approach;
The Cahn-Hilliard-Hele-Shaw system with singular potential
Keywords: پتانسیل منحصر به فرد; 35B40; 35B41; 35Q35; 76D27; Cahn-Hilliard equation; Darcy's equation; Singular potential; Well-posedness; Regularity; Long-time behavior;
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
Keywords: پتانسیل منحصر به فرد; 35K05; 93B05; 93B07Heat equation; Singular potential; Null controllability; Carleman estimates
Long time dynamics of highly concentrated solitary waves for the nonlinear Schrödinger equation
Keywords: پتانسیل منحصر به فرد; Solitary waves dynamics; Singular potential; Effective Hamiltonian
Diagonals of Green’s functions and applications
Keywords: پتانسیل منحصر به فرد; primary, 35J25, 35J70; secondary, 35J60Radial solutions; Singular potential; Sturm–Liouville operators
Existence result for a class of biharmonic equations with critical growth and singular potential in RN
Keywords: پتانسیل منحصر به فرد; Compactness theorem; Biharmonic equations; Critical growth; Singular potential;
Schrödinger–Poisson system with singular potential
Keywords: پتانسیل منحصر به فرد; Elliptic equations; Variational methods; Schrödinger–Poisson equation; Singular potential; Nonnegative Palais–Smale sequence
Analysis of a Cahn-Hilliard-Ladyzhenskaya system with singular potential
Keywords: پتانسیل منحصر به فرد; Incompressible viscous fluids; Non-Newtonian fluids; Ladyzhenskaya model; Binary mixtures; Diffuse interfaces; Cahn-Hilliard equations; Singular potential; Trajectory attractors;
A quantitative study of the nonlinear Schrödinger equation with singular potential of any derivative orders
Keywords: پتانسیل منحصر به فرد; Nonlinear Schrödinger equation; Singular potential; Critical phenomenon; Reflection coefficient
An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods
Keywords: پتانسیل منحصر به فرد; Nonlinear Schrödinger equation; Singular potential; Spectral method; Generalized polynomial chaos; Stochastic collocation method; Split step Fourier method; Spectral convergence;
Novel quasi-exactly solvable models with anharmonic singular potentials
Keywords: پتانسیل منحصر به فرد; Quasi-exactly solvable system; Bethe ansatz; Singular potential
Nonlinear Schrödinger equation with unbounded or vanishing potentials: Solutions concentrating on lower dimensional spheres
Keywords: پتانسیل منحصر به فرد; 35J65; 35B05; 35B25; 35B40; 35J20; 35Q55Stationary nonlinear Schrödinger equation; Semiclassical states; Semilinear elliptic problem; Singular potential; Vanishing potential; Radial solution; Concentration on submanifolds
On the two-dimensional stationary Schrödinger equation with a singular potential
Keywords: پتانسیل منحصر به فرد; Singular potential; Vekua equation; Pseudoanalytic function; Generalized analytic function; Schrödinger equation;
Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent
Keywords: پتانسیل منحصر به فرد; 35J65; 35J20Multiple positive solutions; Singular potential; Critical Sobolev exponent; Ekeland variational principle; Mountain Pass theorem
Nonlinear, degenerate and singular eigenvalue problems on RNRN
Keywords: پتانسیل منحصر به فرد; 35D05; 35J60; 35J70; 58E05; 68T40; 76A02Eigenvalue problem; Singular potential; Weighted Sobolev space; Banach fixed point theorem
On m-accretive Schrödinger-type operators with singular potentials on Riemannian manifolds
Keywords: پتانسیل منحصر به فرد; 58J50mm-accretive operator; Riemannian manifold; Schrödinger operator; Singular potential
Multiple positive and sign-changing solutions for a singular Schrödinger equation with critical growth
Keywords: پتانسیل منحصر به فرد; 35J20; 35J70Variational methods; Multiple positive and sign-changing solutions; Singular potential; Critical Sobolev exponent
Multiple positive solutions for a semilinear equation with prescribed singularity
Keywords: پتانسیل منحصر به فرد; Variational methods; Multiple positive solutions; Singular potential; Critical Sobolev exponent;
Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
Keywords: پتانسیل منحصر به فرد; 35B65; 49J20; Schrödinger equation; Singular potential; Regularity; Existence; Bilinear optimal control; Optimality condition;