Keywords: وجود راه حل ها; Phase field system; Maximal monotone nonlinearities; Nonlocal terms; Initial and boundary value problem; Existence of solutions;
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Keywords: وجود راه حل ها; 35K65; 35K70; 35Q35; 76S05; Dynamic capillary pressure; Degenerate nonlinear parabolic PDE; Pseudoparabolic equations; Entropy; Existence of solutions;
Keywords: وجود راه حل ها; differential variational inequality; C0-semigroup; monotone operator; existence of solutions; 49J40; 47J20;
Keywords: وجود راه حل ها; Boundary control systems; Port-Hamiltonian systems; Nonlinear control; Existence of solutions; Stabilization;
Keywords: وجود راه حل ها; Group finite element formulation; Existence of solutions; Stability; Error estimates; Convection-diffusion-reaction equation;
Keywords: وجود راه حل ها; 13P05; 13P10; 13P15; 14Q99; Monomial containment; Existence of solutions; Solving polynomial equations; Triangular set;
Keywords: وجود راه حل ها; Boundary value problem; Singular; Resonant BVPs; Existence of solutions; Thomas-Fermi; Bohr;
Keywords: وجود راه حل ها; Existence of solutions; Uniform stabilization; Non-linear system with non-negative terms
Keywords: وجود راه حل ها; Nonlinear system; Existence of solutions; Optimal control; Dengue
Keywords: وجود راه حل ها; 26A33; 35K65; 76S05Nonlinear fractional diffusion; Fractional Laplacian; Riesz potential; Existence of solutions; Finite/infinite speed of propagation
Keywords: وجود راه حل ها; Fractional derivatives and integrals; Duality theory; Fractional integration by parts; Calculus of variations; Existence of solutions;
Keywords: وجود راه حل ها; Evolutionary Distributions; Singular perturbation; System of partial differential equations; Existence of solutions; Numerical simulations;
Keywords: وجود راه حل ها; Nonhomogeneous material; Thermoelastic contact problem; Existence of solutions
Keywords: وجود راه حل ها; Cross-diffusion system; Population dynamics; Contact inhibition; Splitting and differentiation; Numerical simulations; Existence of solutions
Keywords: وجود راه حل ها; primary, 35J60, 35R11, 35B09; secondary, 35J20, 49J35, 35S15Stationary Kirchhoff Dirichlet problems; Existence of solutions; Fractional Sobolev spaces; Critical nonlinearities; Variational methods
Keywords: وجود راه حل ها; 39A22; 65Q10; 65Q30Nonhomogeneous nonlinear second order difference equations; Shohat-Freud-type exponential weight functions; Painlevé’s discrete equation #1; Existence of solutions; Unicity of solutions; Asymptotic behavior
Keywords: وجود راه حل ها; Existence of solutions; Lipschitz truncation; L∞L∞-truncation; Weighted function spaces; Micropolar electrorheological fluids
Keywords: وجود راه حل ها; Sturm-Liouville; Non-positone problems; Positive solutions; Existence of solutions; Fixed points;
Keywords: وجود راه حل ها; Fractional differential equations with boundary conditions; Monotone iterative method; Lower and upper solutions; Existence of solutions; Mittag-Leffler functions
Keywords: وجود راه حل ها; 35A05; 35L72; 45D05; 45G10Nonlinear viscoelastic equations; Memory kernel; Existence of solutions; Uniqueness; Continuous dependence
Keywords: وجود راه حل ها; Fractional differential equations with advanced arguments and with boundary conditions; Existence of solutions; Successive approximations and monotone iterative method; The Mittag–Leffler functions; Fractional differential inequalities; Lower and upper so
Keywords: وجود راه حل ها; A priori bounds; Singular boundary value problem; Existence of solutions; Derivative dependence; Differential inequalities; Topological methods
Keywords: وجود راه حل ها; Successive iteration; Boundary value problems; Order interval; Existence of solutions
Keywords: وجود راه حل ها; Opposing mixed convection; Descending external temperature; Existence of solutions
Existence and uniqueness of solutions to singular Cahn-Hilliard equations with nonlinear viscosity terms and dynamic boundary conditions
Keywords: وجود راه حل ها; Cahn-Hilliard system; Dynamic boundary conditions; Nonlinear viscosity; Existence of solutions; Uniqueness;
On a cross-diffusion system arising in image denoising
Keywords: وجود راه حل ها; Cross-diffusion; Denoising; Perona-Malik; Existence of solutions; Simulations;
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing I: Analysis
Keywords: وجود راه حل ها; 26B30; 35D30; 35K67; 35K92; 46E35; 46E40; Variable exponent spaces; p(t,x)-Laplacian; BV functions; Existence of solutions; Critical exponent; Image processing;
A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
Keywords: وجود راه حل ها; 46E30; 35J60; 35D30; Elliptic problems; Parabolic problems; Existence of solutions; Musielak-Orlicz spaces; Renormalized solutions; Lavrentiev's phenomenon;
Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space
Keywords: وجود راه حل ها; 35J60; 35D30; Elliptic problems; Existence of solutions; The Musielak-Orlicz spaces; Renormalized solutions;
Polyharmonic k-Hessian equations in RN
Keywords: وجود راه حل ها; 35G20; 35G30; 35J60; 35J61; 42B35; 42B37; 46E30; 46E35; 46N20; Higher order elliptic equations; k-Hessian type equations; Existence of solutions; Fixed point methods; Functional inequalities; Harmonic analysis of partial differential equations;
Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions
Keywords: وجود راه حل ها; 35K55; 35A01; Existence of solutions; Parabolic problems; Musielak-Orlicz spaces;
Quasilinear elliptic systems with measure data
Keywords: وجود راه حل ها; Elliptic systems; Existence of solutions; Measures;
Existence of weak solutions to degenerate p-Laplacian equations and integral formulas
Keywords: وجود راه حل ها; primary; 46E35; 35J60; Existence of solutions; Degenerate p-Laplacian; Degenerate Sobolev spaces; Quasimetric spaces; Mountain Pass Lemma; Concentration Compactness Principle;
Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence type
Keywords: وجود راه حل ها; 60H15; 35R60; 35K55; 35D30; 47H05; 46N30; Doubly nonlinear stochastic equation; Divergence; Variational approach; Existence of solutions; Continuous dependence; Multiplicative noise;
Two-dimensional Amari neural field model with periodic microstructure: Rotationally symmetric bump solutions
Keywords: وجود راه حل ها; Two-dimensional neural field models; Neural field models with micro-structure; Bump solutions; Existence of solutions; Stability
On polyharmonic regularizations of kk-Hessian equations: Variational methods
Keywords: وجود راه حل ها; 35G20; 35G30; 35J50; 35J60; 35J61Higher order elliptic equations; kk-Hessian type equations; Existence of solutions; Variational methods; Multiplicity of solutions
Existence of radial solutions to biharmonic k-Hessian equations
Keywords: وجود راه حل ها; 34B08; 34B16; 34B40; 35G30k-Hessian type equations; Biharmonic boundary value problems; Existence of solutions; Non-existence of solutions
Nonlocal diffusion equations
Keywords: وجود راه حل ها; Existence of solutions; Parabolic equations; Variational minimizer; Parabolic minimizer; Nonlocal partial differential equations
The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter
Keywords: وجود راه حل ها; Boundary value problem; Discrete fractional calculus; Existence of solutions; Guo–Krasnosel’skii theorem; Eigenvalue problem
On new existence results for fractional integro-differential equations with impulsive and integral conditions
Keywords: وجود راه حل ها; Existence of solutions; Non-linear fractional differential equations; Abstract spaces
Sharp subcritical Moser–Trudinger inequalities on Heisenberg groups and subelliptic PDEs
Keywords: وجود راه حل ها; Subcritical Moser–Trudinger inequality; Heisenberg group; Sharp constants; Q-Laplace on the Heisenberg group; Nonlinear subelliptic equations; Exponential growth; Existence of solutions
Initial value problems for neutral fractional differential equations involving a Riemann–Liouville derivative
Keywords: وجود راه حل ها; Neutral fractional differential equations; Riemann–Liouville fractional derivatives; Delayed arguments; Monotone iterative method; Existence of solutions; Mittag–Leffler functions
Fractional equations of Volterra type involving a Riemann–Liouville derivative
Keywords: وجود راه حل ها; Equations of Volterra type; Monotone iterative method; Riemann–Liouville fractional derivatives; Existence of solutions
Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay
Keywords: وجود راه حل ها; Fractional functional differential equation; Impulse; Existence of solutions; Hausdorff's measure of noncompactness
Existence of solutions for a coupled system of difference equations with causal operators
Keywords: وجود راه حل ها; Difference equations with causal operators; Difference inequalities with causal operators; Coupled lower and upper approximative solution; Monotone iterative method; Existence of solutions
Existence results to delay fractional differential equations with nonlinear boundary conditions
Keywords: وجود راه حل ها; Monotone iterative method; Riemann–Liouville fractional derivatives; Delay arguments; Existence of solutions
The uniqueness and existence of solutions for the 3-D Helmholtz equation in a cylindrically symmetric waveguide with unbounded perturbation
Keywords: وجود راه حل ها; Helmholtz equation; Cylindrically symmetric waveguide; Unbounded perturbation; Existence of solutions; Uniqueness of solutions; Green’s function; Radiation condition
Existence of solutions for a class of boundary value problems of semilinear differential inclusions
Keywords: وجود راه حل ها; Differential inclusion; Boundary value problem; Existence of solutions; Fixed point
The Dirichlet problem of nonhomogeneous AA-harmonic equations in unbounded open sets and some estimates
Keywords: وجود راه حل ها; Dirichlet problem; Nonhomogeneous AA-harmonic equations; Existence of solutions; Estimates
Some fourth order nonlinear elliptic problems related to epitaxial growth
Keywords: وجود راه حل ها; 35J50; 35J60; 35J62; 35J96; 35G20; 35G30Growth problems; Higher order elliptic equations; Gaussian curvature; Monge–Ampère type equations; Existence of solutions; Variational methods