Existence results for double phase implicit obstacle problems involving multivalued operators

S Zeng, Y Bai, L Gasiński, P Winkert - Calculus of Variations and Partial …, 2020 - Springer
In this paper we study implicit obstacle problems driven by a nonhomogenous differential
operator, called double phase operator, and a multivalued term which is described by …

[图书][B] Topological and variational methods with applications to nonlinear boundary value problems

D Motreanu, VV Motreanu, NS Papageorgiou - 2014 - Springer
This monograph presents fundamental methods and topics in nonlinear analysis and their
efficient application to nonlinear boundary value problems for elliptic equations. The book is …

[图书][B] Nonsmooth variational problems and their inequalities: comparison principles and applications

S Carl, VK Le, D Motreanu - 2007 - books.google.com
This monograph focuses primarily on nonsmooth variational problems that arise from
boundary value problems with nonsmooth data and/or nonsmooth constraints, such as …

[图书][B] Nonsmooth analysis

W Schirotzek - 2007 - books.google.com
This book treats various concepts of generalized derivatives and subdifferentials in normed
spaces, their geometric counterparts and their application to optimization problems. It starts …

[图书][B] Elliptic partial differential equations

VA Volʹpert - 2014 - Springer
If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

[图书][B] Variational principles in mathematical physics, geometry, and economics: Qualitative analysis of nonlinear equations and unilateral problems

A Kristály, VD Rădulescu, C Varga - 2010 - books.google.com
Foreword Jean Mawhin; Preface; Part I. Variational Principles in Mathematical Physics: 1.
Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4 …

[图书][B] Exercises in analysis: Part 2: nonlinear analysis

L Gasiński, NS Papageorgiou - 2016 - books.google.com
This second of two Exercises in Analysis volumes covers problems in five core topics of
mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and …

Constant sign and nodal solutions for superlinear double phase problems

L Gasiński, NS Papageorgiou - Advances in Calculus of Variations, 2021 - degruyter.com
We consider a double phase problems with unbalanced growth and a superlinear reaction,
which need not satisfy the Ambrosetti–Rabinowitz condition. Using variational tools and the …

[图书][B] Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

S Aizicovici, NS Papageorgiou, V Staicu - 2008 - books.google.com
Page 1 |MEMOIRS of the American Mathematical Society Number 915 Degree Theory for
Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints Sergiu …

Existence of solutions for double phase obstacle problems with multivalued convection term

S Zeng, L Gasiński, P Winkert, Y Bai - Journal of Mathematical Analysis and …, 2021 - Elsevier
The main goal of this paper is the study of an elliptic obstacle problem with a double phase
phenomena and a multivalued reaction term which also depends on the gradient of the …