A new inequality for superdiffusions and its applications to nonlinear differential equations.
A new partial regularity proof for solutions of nonlinear elliptic systems.
A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
A New Proof of a Regulatory Theorem.
A new second order finite difference conservative scheme.
A new type of solutions for a singularly perturbed elliptic Neumann problem.
A non linear hyperbolic equation related to the dynamics of cardiac muscle
A Nonconforming Combined Method for Solving Laplace's Boundary Value Problems with Singularities.
A nonexistence result for a nonlinear equation involving critical Sobolev exponent
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space.
A nonexistence result for Yamabe type problems on thin annuli
A nonexistence theorem for an equation with critical Sobolev exponent in the half space.
A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
In this paper we study the Sobolev trace embedding W1,p(Ω) → LpV (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λk / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end this article with the...
A nonlinear elliptic boundary value problem
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
We prove the existence of cylindrical solutions to the semilinear elliptic problem , , , where , and has a double-power behaviour, subcritical at infinity and supercritical near the origin. This result also implies the existence of solitary waves with nonvanishing angular momentum for nonlinear Schr¨odinger and Klein–Gordon equations.
A nonlinear operator in potential theory
A nonlinear second order problem with a nonlocal boundary condition.
A nonlocal elliptic equation in a bounded domain
The existence of a positive solution to the Dirichlet boundary value problem for the second order elliptic equation in divergence form , in a bounded domain Ω in ℝⁿ with some growth assumptions on the nonlinear terms f and g is proved. The method based on the Krasnosel’skiĭ Fixed Point Theorem enables us to find many solutions as well.
A nontrivial solution for Neumann noncoercive hemivariational inequalities
In this paper we consider Neumann noncoercive hemivariational inequalities, focusing on nontrivial solutions. We use the critical point theory for locally Lipschitz functionals.
A note about a priori estimates for indefinite problems in unbounded domains.