Special Issue "Nonlinear Elliptic and Parabolic Differential Equations"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 185

Special Issue Editors

Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University, Vorobyovy Gory, Moscow 119992, Russia
Interests: qualitative theory of elliptic and parabolic partial differential equations; singular solutions and behavior of solutions of nonlinear ordinary differential equations
Department of Physics, Moscow State University, Moscow 119234, Russia
Interests: non-classical nonlinear equations of Sobolev type; blow-up of solutions; asymptotic behavior at large times

Special Issue Information

Dear Colleagues,

This Special Issue is devoted to nonlinear equations of elliptic and parabolic types. We welcome both theoretical results and their applications in various fields of natural science. The main areas we wish to cover include:

  1. Existence and uniqueness theorems including theorems on the absence of solutions (blow-up);
  2. Quasi-linear equations with measured data;
  3. Qualitative properties of solutions;
  4. Singular solutions of nonlinear equations and inequalities;
  5. Peaking regimes in nonlinear evolution equations;
  6. Large solutions of nonlinear elliptic and parabolic equations;
  7. Stabilization of solutions of evolution equations, inequalities, and attractors;
  8. Applications to natural sciences.

Prof. Dr. Andrej Kon'kov
Prof. Dr. Maxim Korpusov
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • nonlinear PDEs
  • elliptic and parabolic equations and inequalities
  • singular solutions
  • blow-up
  • stabilization of solutions
  • attractors

Published Papers

There is no accepted submissions to this special issue at this moment.
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