Existence and multiplicity results for nonlinear elliptic problems in with an indefinite functional.
Existence and nonexistence of positive solutions for singular -Laplacian equation in .
Existence and nonexistence results for classes of singular elliptic problem.
Existence and nonexistence results for quasilinear semipositone Dirichlet problems.
Existence and regularity of positive solutions for an elliptic system.
Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface.
Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.
Existence and uniqueness results on Single-Peaked solutions of a semilinear problem
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights
Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang [6] and the properties of variational Sobolev spaces, we establish conditions which ensure the existence of solution for our problem.
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 infinitely many weak solutions for some quasilinear $\vec {p}(x)$-elliptic Neumann problems
We consider the following quasilinear Neumann boundary-value problem of the type $$ \begin {cases} -\displaystyle \sum _{i=1}^{N}\frac {\partial }{\partial x_{i}}a_{i}\Big (x,\frac {\partial u}{\partial x_{i}}\Big ) + b(x)|u|^{p_{0}(x)-2}u = f(x,u)+ g(x,u) &\text {in} \ \Omega , \\ \quad \dfrac {\partial u}{\partial \gamma } = 0 &\text {on} \ \partial \Omega . \end {cases} $$ We prove the existence of infinitely many weak solutions for our equation in the anisotropic variable exponent Sobolev...
Existence of multiple solutions for a -Laplace equation.
Existence of multiple solutions for quasilinear diagonal elliptic systems.
Existence of non-negative solutions for nonlinear equations in the semi-positone case.
Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition.
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity.
Existence of nontrivial solutions for singular quasilinear equations with sign changing nonlinearity.