Existence of entire explosive positive radial solutions of quasilinear elliptic systems.
Existence of entire positive solutions for a class of semilinear elliptic systems.
Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition.
Existence of entropy solutions for degenerate quasilinear elliptic equations in
In this article, we prove the existence of entropy solutions for the Dirichlet problem where is a bounded open set of , , and .
Existence of entropy solutions for some nonlinear problems in Orlicz spaces.
Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and -data
In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic -Laplacian problem with Dirichlet-type boundary conditions and data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations.
Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem.
Existence of infinitely many solutions for degenerate and singular elliptic systems with indefinite concave nonlinearities.
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 least energy solutions to coupled elliptic systems with critical nonlinearities.
Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli.
Existence of Metrics With Prescribed Ricci Curvature: Local Theory.
Existence of minimizers for Kohn-Sham models in quantum chemistry
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 spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
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 nonnegative solutions to positone-type problems in with indefinite weights.