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This paper is devoted to the existence of conformal metrics on $S^{3}$ with prescribed scalar curvature. We extend well known existence criteria due to Bahri-Coron.

Existence theorems for a semilinear elliptic boundary value problem

Salvatore A. Marano (1994)

Annales Polonici Mathematici

Existence theorems for boundary value problems for strongly nonlinear elliptic systems.

Hôǹg Thái Nguyêñ (1999)

Zeitschrift für Analysis und ihre Anwendungen

Existence theorems for operator equations and nonlinear elliptic boundary-value problems

Walter Petry (1973)

Commentationes Mathematicae Universitatis Carolinae

Existence theorems for some elliptic systems.

Dalmasso, Robert (1995)

Portugaliae Mathematica

Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $ℝ^{n}$

Reinhard Farwig, Hermann Sohr (2009)

Czechoslovak Mathematical Journal

For a bounded domain $Ω \subset ℝ^{n}$ , $n \geq 3,$ we use the notion of very weak solutions to obtain a new and large uniqueness class for solutions of the inhomogeneous Navier-Stokes system $- Δ u + u \cdot \nabla u + \nabla p = f$ , $div u = k$ , $u_{|_{\partial Ω}} = g$ with $u \in L^{q}$ , $q \geq n$ , and very general data classes for $f$ , $k$ , $g$ such that $u$ may have no differentiability property. For smooth data we get a large class of unique and regular solutions extending well known classical solution classes, and generalizing regularity results. Moreover, our results are closely related to those of a series of...

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Existence of solutions to $n$ -dimensional pendulum-like equations.

Existence of solutions to $p$ -Laplace equations with logarithmic nonlinearity.

Existence of two nontrivial solutions for semilinear elliptic problems.

Existence of weak solutions for a nonuniformly elliptic nonlinear system in $ℝ^{N}$ .

Existence of weak solutions for nonlinear systems involving several $p$ -Laplacian operators.

Existence results for classes of $p$ -Laplacian semipositone equations.

Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions.

Existence results for non-autonomous elliptic boundary value problems.

Existence results for polyharmonic boundary value problems in the unit ball.

Existence results for quasilinear problems via ordered sub and supersolutions

Existence results for singular anisotropic elliptic boundary-value problems.

Existence results for the prescribed Scalar curvature on $S^{3}$

Existence theorems for a semilinear elliptic boundary value problem

Existence theorems for boundary value problems for strongly nonlinear elliptic systems.

Existence theorems for operator equations and nonlinear elliptic boundary-value problems

Existence theorems for some elliptic systems.

Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $ℝ^{n}$

Existencia De Multiples Soluciones De Un Problema Eliptico Con Parte Lineal En Resonancia Con El Primer Valor Propio.

Exit time, Green function and semilinear elliptic equations.

Expanded mixed finite element methods for quasilinear second order elliptic problems, II

Currently displaying 81 – 100 of 104