On a perturbed Dirichlet problem for a nonlocal differential equation of Kirchhoff type.
On a phase-field model with a logarithmic nonlinearity
Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
On a problem of lower limit in the study of nonresonance with Leray-Lions operator.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. (Summary).
On a semilinear elliptic eigenvalue problem
We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, , where f(x) and h(u) satisfy minimal regularity assumptions.
On a semilinear elliptic equation in
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
On a sub-supersolution method for the prescribed mean curvature problem
The paper is about a sub-supersolution method for the prescribed mean curvature problem. We formulate the problem as a variational inequality and propose appropriate concepts of sub- and supersolutions for such inequality. Existence and enclosure results for solutions and extremal solutions between sub- and supersolutions are established.
On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations.
On Bellman equations of ergodic control in ...n.
On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
We present some results concerning the problem , in , , where , , and is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.
On boundedness of the weak solution for some class of quasilinear partial differential equations
On certain nonlinear elliptic systems with indefinite terms.
On certain p-harmonic functions in the plane.
On certain singular solutions of the partial differential equation... .
On critical exponents for the Pucci's extremal operators
On elliptic systems pertaining to the Schrödinger equation
We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
On entire solutions of elliptic equations with a singular nonlinearity
On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers.