Existence for quasilinear elliptic systems with quadratic growth having a particular structure.
Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Existence of a minimal solution and a maximal solution of a nonlinear elliptic boundary value problem of the fourth order
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and -data
In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic -Laplacian problem with Dirichlet-type boundary conditions and data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
Existence of infinitely many solutions for elliptic boundary-value problems with nonsymmetrical critical nonlinearity.
Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli.
Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition.
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity.
Existence of optimal maps in the reflector-type problems
In this paper, we consider probability measures μ and ν on a d-dimensional sphere in and cost functions of the form that generalize those arising in geometric optics where We prove that if μ and ν vanish on -rectifiable sets, if |l'(t)|>0, and is monotone then there exists a unique optimal map To that transports μ onto where optimality is measured against c. Furthermore, Our approach is based on direct variational arguments. In the special case when existence of optimal maps...
Existence of positive radial solutions for a weakly coupled systems via blow up.
Existence of positive solutions for Dirichlet problems of some singular elliptic equations.
Existence of positive solutions for nonlinear boundary value problems in bounded domains of .
Existence of positive solutions for nonlinear boundary-value problems in unbounded domains of .
Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator.
Existence of positive solutions for some polyharmonic nonlinear equations in .
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the -laplacian
Existence of solution of the nonlinear Dirichlet problem for differential-functional equations of elliptic type
Consider a nonlinear differential-functional equation (1) Au + f(x,u(x),u) = 0 where , , G is a bounded domain with (0 < α < 1) boundary, the operator A is strongly uniformly elliptic in G and u is a real function. For the equation (1) we consider the Dirichlet problem with the boundary condition (2) u(x) = h(x) for x∈ ∂G. We use Chaplygin’s method [5] to prove that problem (1), (2) has at least one regular solution in a suitable class of functions. Using the method of upper and lower...
Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential.