Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators

被引：0
|
作者：
Anup Biswas
József Lőrinczi
机构：
[1] Indian Institute of Science Education and Research,Department of Mathematics
[2] Loughborough University,Department of Mathematical Sciences
来源：
Integral Equations and Operator Theory | 2020年 / 92卷
关键词：
Semi-linear nonlocal exterior value problem; Ambrosetti–Prodi problem; Viscosity solutions; Bifurcations; Fractional Schrödinger operator; Principal eigenvalues; Maximum principles; 35J60; 35J55; 58J55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear growth cases separately. We develop a new technique using a functional integration-based approach, which is more robust in the non-local context than a purely analytic treatment.
引用
收藏
相关论文
共 50 条
  • [31] VARIABLE EXPONENT p(x)-LAPLACIAN-LIKE DIRICHLET PROBLEM WITH CONVECTION
    El Ouaarabi, Mohamed
    Allalou, Chakir
    Melliani, Said
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (01) : 53 - 62
  • [32] Existence result for Neumann problems with p(x)-Laplacian-like operators in generalized Sobolev spaces
    Mohamed El Ouaarabi
    Chakir Allalou
    Said Melliani
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1337 - 1350
  • [33] Critical Ambrosetti-Prodi type problems for systems of elliptic equations
    de Morais Filho, D. C.
    Pereira, F. R.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (01) : 194 - 207
  • [34] Existence result for Neumann problems with p(x)-Laplacian-like operators in generalized Sobolev spaces
    El Ouaarabi, Mohamed
    Allalou, Chakir
    Melliani, Said
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (02) : 1337 - 1350
  • [35] On the superlinear problems involving p(x)-Laplacian-like operators without AR-condition
    Zhou, Qing-Mei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 21 : 161 - 169
  • [36] Multiple Positive Solutions for Nonlinear Eigenvalue Problems Involving p(x)-Laplacian-Like Operators
    Ke-Qi Wang
    Qing-Mei Zhou
    Mediterranean Journal of Mathematics, 2023, 20
  • [37] Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like
    Zhou Qing-Mei
    Ge Bin
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [38] Existence of Solutions for a Class of Dirichlet Problems Involving Fractional (p, q)-Laplacian Operators
    Moujani, Hasna
    El Mfadel, Ali
    Kassidi, Abderrazak
    Elomari, M'hamed
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2024, 30 (04)
  • [39] On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
    Wei, Juncheng
    Yan, Shusen
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2010, 9 (02) : 423 - 457
  • [40] Exact number of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type
    Yuxia Guo
    Benniao Li
    Shusen Yan
    Calculus of Variations and Partial Differential Equations, 2020, 59
12345