Positive steady-state solutions of the Sel’kov model
Keywords: برآورد پیشین; The Sel’kov model; Steady-state solutions; A priori estimates; Existence; The fixed point index
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L2 bounds in some non-standard nonlinear problems in partial differential equations
Keywords: برآورد پیشین; 35K60; 35L20; 35B45; A priori estimates; Non-standard problems;
Some nonexistence results of stationary solutions for the Gray–Scott model
Keywords: برآورد پیشین; Gray–Scott model; Stationary problem; Nonexistence; A priori estimates; Strong maximum principle
Note on a ratio-dependent predator–prey system with diffusion
Keywords: برآورد پیشین; 35J55; 35B25; 92C40Diffusion; Ratio-dependent predator–prey model; Positive steady-states; Global stability; A priori estimates; Non-existence
Degenerate semiconductor device equations with temperature effect
Keywords: برآورد پیشین; 35B45; 35B50; 35B65; 35J20; 35J25; 35J70; 35M10Semiconductor device equations; Maximum principles; Weak solutions; A priori estimates; Regularity; Degeneracy; Uniformly elliptic equations
A third-order boundary value problem with one-sided Nagumo condition
Keywords: برآورد پیشین; Third-order separated boundary value problem; One-sided Nagumo condition; Lower and upper solutions; A priori estimates; Leray-Schauder degree;
Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control
Keywords: برآورد پیشین; Third-order nonlinear boundary value problems; Sign-type Nagumo condition; Lower and upper solutions; A priori estimates; Leray-Schauder degree;
Pattern formation in the Brusselator system
Keywords: برآورد پیشین; The Brusselator system; Pattern formation; Steady states; A priori estimates; Existence; Bifurcation;
Solvability of some third-order boundary value problems with asymmetric unbounded nonlinearities
Keywords: برآورد پیشین; 34B15; Third-order separated boundary value problems; One-sided Nagumo condition; Lower and upper solutions; A priori estimates; Leray-Schauder degree;
A new regularity criterion for weak solutions to the Navier-Stokes equations
Keywords: برآورد پیشین; 35B45; 35B65; 76D05; Navier-Stokes equations; Regularity criterion; A priori estimates;
Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
Keywords: برآورد پیشین; Evolution equations; Diffusion waves; Decay rate; Energy method; A priori estimates;
The Poincaré problem in Lp-Sobolev spaces-I: codimension one degeneracy
Keywords: برآورد پیشین; primary: 35J25; 35R25; secondary: 35B45; 46E35; 46N20; 35H20; 35R05; 58J32; Uniformly elliptic operator; Poincaré problem; Emergent-type vector field; Strong solution; A priori estimates; Lp-Sobolev spaces;
On uniform decay of coupled wave equation of Kirchhoff type subject to memory condition on the boundary
Keywords: برآورد پیشین; Existence of solution; Uniform decay; Wave equation; Boundary value problem; A priori estimates;
A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
Keywords: برآورد پیشین; 58J05; 53C21; A priori estimates; Maximum principles; Volume growth; Quasi-linear elliptic inequalities;