AbstractExistence results are established for a class of singular diffusion problems with a general nonlinear boundary condition. The proofs are based on a priori bounds for all solutions and a shooting technique applied to a corresponding initial value problem. Various uniqueness results are obtained by assuming either the variables in the diffusion coefficient or in the source term are separable
We consider the partial differential equation u−f=div(u^m ∇u/|∇u|) with f nonnegative and bounde...
Abstract Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usua...
AbstractThe mixed type boundary problem utt = ((aijuxi)xj)t + (bijuxi)xj + (F(x, t, u, ux))t in n-di...
AbstractExistence results are established for a class of singular diffusion problems with a general ...
summary:The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equatio...
AbstractThis paper deals with diffusion problems modeled by the equation a(t)uxx = ut, x > 0, t > 0,...
We study positive solutions to classes of steady state reaction diffusion equations that arise natur...
We investigate well-posedness of initial-boundary value problems for a class of nonlinear parabolic ...
AbstractWe study the existence and approximation of a nontrivial positive solution for a nonlinear o...
AbstractThis paper is concerned with a class of degenerate diffusion equations subject to mixed boun...
This paper is devoted to study the existence and uniqueness of solutions to nonlinear difference Φ-...
Let Φ be continuous, have at most finitely many local extrema on any bounded interval, be twice cont...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
AbstractIn this paper, we consider a singular diffusion problem and show, by constructing a countere...
This work was suggested by a paper by V. W. Bolie in which he develops a non-linear impedance theory...
We consider the partial differential equation u−f=div(u^m ∇u/|∇u|) with f nonnegative and bounde...
Abstract Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usua...
AbstractThe mixed type boundary problem utt = ((aijuxi)xj)t + (bijuxi)xj + (F(x, t, u, ux))t in n-di...
AbstractExistence results are established for a class of singular diffusion problems with a general ...
summary:The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equatio...
AbstractThis paper deals with diffusion problems modeled by the equation a(t)uxx = ut, x > 0, t > 0,...
We study positive solutions to classes of steady state reaction diffusion equations that arise natur...
We investigate well-posedness of initial-boundary value problems for a class of nonlinear parabolic ...
AbstractWe study the existence and approximation of a nontrivial positive solution for a nonlinear o...
AbstractThis paper is concerned with a class of degenerate diffusion equations subject to mixed boun...
This paper is devoted to study the existence and uniqueness of solutions to nonlinear difference Φ-...
Let Φ be continuous, have at most finitely many local extrema on any bounded interval, be twice cont...
The aim of the work is to substantiate the existence and solution uniqueness of some boundary proble...
AbstractIn this paper, we consider a singular diffusion problem and show, by constructing a countere...
This work was suggested by a paper by V. W. Bolie in which he develops a non-linear impedance theory...
We consider the partial differential equation u−f=div(u^m ∇u/|∇u|) with f nonnegative and bounde...
Abstract Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usua...
AbstractThe mixed type boundary problem utt = ((aijuxi)xj)t + (bijuxi)xj + (F(x, t, u, ux))t in n-di...
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