Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.
Existence and number of solutions to semilinear equations with applications to boundary-value problems.
Existence and uniqueness for a nonlinear dispersive equation.
Existence and uniqueness of solution of unilateral problems with data.
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition
This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple considered in the setting of this paper is such that the embedding is only continuous.
Existence by minimisation of solitary water waves on an ocean of infinite depth
Existence, multiplicity, and bifurcation in systems of ordinary differential equations.
Existence of a ray of eigenvalues for equations with discontinuous operators.
Existence of a Solution of the Quasi- Variational Inequality With Semicontinuous Operator
Existence of four solutions of some nonlinear Hamiltonian system.
Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem.
Existence of infinitely many solutions for elliptic boundary-value problems with nonsymmetrical critical nonlinearity.
Existence of multiple solutions for a class of second-order ordinary differential equations.
Existence of non-negative solutions for nonlinear equations in the semi-positone case.
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity.
Existence of nonzero nonnegative solutions of semilinear equations at resonance
The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.
Existence of optimal controls for control systems governed by nonlinear partial differential equations
Existence of periodic solutions for second-order neutral differential equations.
Existence of positive solutions of a singular nonlinear boundary value problem.