A priori bounds for solutions of parabolic problems and applications
A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures.
Transition from decay to blow-up in a parabolic system.
Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.
On the Principle of Linearized Stability for Varitional Inequalities.
Global existence of solutions of parabolic problems with nonlinear boundary conditions
A note to E. Miersemann's papers on higher eigenvalues of variational inequalities
Spectral analysis of variational inequalities [Abstract of thesis]
Spectral analysis of variational inequalities
Singular sets and number of solutions of nonlinear boundary value problems
Generic properties of von Kármán equations
Solvability and multiplicity results for variational inequalities
On positive solutions of semilinear elliptic problems
Transition from decay to blow-up in a parabolic system
We show a locally uniform bound for global nonnegative solutions of the system , in , on , where , and is a bounded domain in , . In particular, the trajectories starting on the boundary of the domain of attraction of the zero solution are global and bounded.
A remark on the stability of stationary solutions of parabolic variational inequalities
On global existence and stationary solutions for two classes of semilinear parabolic problems
We investigate stationary solutions and asymptotic behaviour of solutions of two boundary value problems for semilinear parabolic equations. These equations involve both blow up and damping terms and they were studied by several authors. Our main goal is to fill some gaps in these studies.
A priori bounds for solutions of parabolic problems and applications
We review some recent results concerning a priori bounds for solutions of superlinear parabolic problems and their applications.
A priori estimates of solutions of superlinear problems
In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.
On the unique solvability of nonresonant elliptic equations
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
We prove a Liouville type theorem for sign-changing radial solutions of a subcritical semilinear heat equation . We use this theorem to derive a priori bounds, decay estimates, and initial and final blow-up rates for radial solutions of rather general semilinear parabolic equations whose nonlinearities have a subcritical polynomial growth. Further consequences on the existence of steady states and time-periodic solutions are also shown.
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