Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli.
Existence of Metrics With Prescribed Ricci Curvature: Local Theory.
Existence of positive entire solutions of semilinear elliptic equations on .
Existence of positive solutions for nonlinear boundary value problems in bounded domains of .
Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of .
Existence of positive solutions for some polyharmonic nonlinear equations in .
Existence of positive solutions to a superlinear elliptic problem.
Existence of pseudo almost automorphic solutions for the heat equation with -pseudo almost automorphic coefficients.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of regular time-periodic solutions for a class of non-Newtonian double-diffusive convection system
We investigate a system of partial differential equations that models the motion of an incompressible double-diffusion convection fluid. The additional stress tensor is generated by a potential with -structure. In a three-dimensional periodic setting and , we employ a regularized approximation scheme in conjunction with the Galerkin method to establish the existence of regular solutions, provided that the forcing term is properly small. Furthermore, we demonstrate the existence of periodic regular...
Existence of renormalized solutions for parabolic equations without the sign condition and with three unbounded nonlinearities
We study the problem ∂b(x,u)/∂t - div(a(x,t,u,Du)) + H(x,t,u,Du) = μ in Q = Ω×(0,T), in Ω, u = 0 in ∂Ω × (0,T). The main contribution of our work is to prove the existence of a renormalized solution without the sign condition or the coercivity condition on H(x,t,u,Du). The critical growth condition on H is only with respect to Du and not with respect to u. The datum μ is assumed to be in and b(x,u₀) ∈ L¹(Ω).
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Existence of solutions for a nonlinear elliptic equation with general flux term.
Existence of solutions for a sublinear system of elliptic equations.
Existence of solutions for a system of elliptic partial differential equations.
Existence of solutions for elliptic systems with nonlocal terms in one dimension.
Existence of solutions for fourth-order PDEs with variable exponents.
Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators.
Existence of solutions for some quasi-variational inequalities