On the existence of a component-wise positive radially symmetric solution for a superlinear system.
On the existence of a generalized solution to a three-dimensional elliptic equation with radiation boundary condition
For a second order elliptic equation with a nonlinear radiation-type boundary condition on the surface of a three-dimensional domain, we prove existence of generalized solutions without explicit conditions (like ) on the trace of solutions. In the boundary condition, we admit polynomial growth of any fixed degree in the unknown solution, and the heat exchange and emissivity coefficients may vary along the radiating surface. Our generalized solution is contained in a Sobolev space with an exponent...
On the existence of a positive solution for a semilinear elliptic equation in the upper half space.
On the existence of a positive solution of semilinear elliptic equations in unbounded domains
On the existence of blowing-up solutions for a mean field equation
On the existence of bounded solutions of nonlinear elliptic systems.
On the existence of five nontrivial solutions for resonant problems with p-Laplacian
In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ₁ > 0 of . We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.
On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate
On the existence of infinitely many solutions for a class of semilinear elliptic equations in
We show, by variational methods, that there exists a set open and dense in such that if then the problem , with subcritical (or more general nonlinearities), admits infinitely many solutions.
On the Existence of Minimal Operators for Schrödinger-Type Differential Expressions.
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations.
On the existence of multiple positive solutions for a certain class of elliptic problems
We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.
On the existence of multiple solutions for a class of nonlinear boundary value problems
On the existence of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds.
On the existence of nonnegative radial solutions for p-Laplacian elliptic systems
The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.
On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem.
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.
On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group.
On the existence of solutions of a nonlocal elliptic equation with a -Kirchhoff-type term.