On the existence of classical solutions for differential-functional IBVP.
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 free vibrations for a beam equation when the period is an irrational multiple of the length
The author examined non-zero -periodic (in time) solutions for a semilinear beam equation under the condition that the period is an irrational multiple of the length. It is shown that for a.e. (in the sense of the Lebesgue measure on ) the solutions do exist provided the right-hand side of the equation is sublinear.
On the Existence of Generalized Solutions and the Convergence of Difference Methods for Nonlinear Initial-Value Problems.
On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables
On the existence of global holomorphic solutions of differential equations with complex parameters
On the Existence of Global Smooth Solutions of Certain Semi-Linear Hyperbolic Equations.
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 principal eigenvalues for some indefinite linear eigenvalue problems.
We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
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 periodic solutions of a semilinear wave equation with a superlinear forcing term
On the existence of periodic solutions of an hyperbolic equation in a thin domain
For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree.
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.