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.
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems.
Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces.
Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains.
Existence of solutions for some elliptic problems with critical Sobolev exponents.
Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H01 (Ω) satisfying the nonlinear elliptic problemsΔu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, andΔu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω).
Existence of solutions to a superlinear -Laplacian equation.