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Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to a given class of perturbed degenerate elliptic equations with critical growth.

A remark on Schrödinger's equation with a short range potential

Cazenave, Thierry (1979)

Portugaliae mathematica

A remark on some nonlinear elliptic problems.

Boccardo, Lucio (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A remark on the bifurcation diagrams of superlinear elliptic equations

Abbas Bahri (2006)

Journal of the European Mathematical Society

We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.

A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions.

Zhang, Hongwei, Hu, Qingying (2010)

Boundary Value Problems [electronic only]

A remark on the blow-up of the solutions of a partial differential equation.

Joao-Paulo Dias, Mário Figueira (1996)

Revista Matemática de la Universidad Complutense de Madrid

A remark on the existence of large solutions via sub and supersolutions.

García-Melián, Jorge (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition

H. Morimoto, H. Fujita (2001)

Mathematica Bohemica

We consider the steady Navier-Stokes equations in a 2-dimensional unbounded multiply connected domain $Ω$ under the general outflow condition. Let $T$ be a 2-dimensional straight channel $ℝ \times (- 1, 1)$ . We suppose that $Ω \cap {x_{1} < 0}$ is bounded and that $Ω \cap {x_{1} > - 1} = T \cap {x_{1} > - 1}$ . Let $V$ be a Poiseuille flow in $T$ and $μ$ the flux of $V$ . We look for a solution which tends to $V$ as $x_{1} \to \infty$ . Assuming that the domain and the boundary data are symmetric with respect to the $x_{1}$ -axis, and that the axis intersects every component of the boundary, we have shown the existence...

A Remark on the L... Bounds of the Ritz Operator Associated with a Finite Element Approximation.

Takashi Suzuki, Hiroshi Fujita (1986)

Numerische Mathematik

A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations

Souplet, Ph. (2007)

Proceedings of Equadiff 11

A remark on the note : “Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth”

Mario Marino, Antonio Maugeri (1996)

Rendiconti del Seminario Matematico della Università di Padova

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