A note on stability for linear partial differential equations
A note on strong resonance problems for -Laplacian.
A note on surfaces with radially symmetric nonpositive Gaussian curvature
It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up to) four families...
A note on symmetries of invariant sets with compact group actions
A note on the approximation of free boundaries by finite element methods
A Note on the Approximation of Mildly Nonlinear Dirichlet Problems by Finite Differences.
A note on the bifurcation of solutions for an elliptic sublinear problem
A note on the Cahn-Hilliard equation in involving critical exponent
We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
A note on the convexity theorem for mean values of subtemperatures.
A note on the difference schemes for hyperbolic equations.
A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight
A note on the effect of numerical quadrature in finite element eigenvalue approximation.
A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods.
A note on the existence of positive solutions of one-dimensional -Laplacian boundary value problems
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
A note on the existence of two nontrivial solutions of a resonance problem.
A note on the generalized energy inequality in the Navier-Stokes equations
We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.
A note on the generic solvability of the Navier-Stokes equations
A Note on the kernel of the ...-Neumann operator on strongly pseudoconvex domains.
A note on the moving hyperplane method.