Nontrivial solutions to boundary value problems for semilinear \(\Delta_\gamma\)-differential equations.
type: Item
instance of: scholarly article
title: Nontrivial solutions to boundary value problems for semilinear \(\Delta_\gamma\)-differential equations.
DOI: 10.21136/AM.2021.0363-19
author: Duong Trong Luyen
published in: Applications of Mathematics
publication date: 2021-09-16T00:00:00Z
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7396164
zbMATH Keywords: \(\Delta_\gamma\)-Laplace problem
zbMATH Keywords: Cerami condition
zbMATH Keywords: variational method
zbMATH Keywords: weak solution
zbMATH Keywords: Mountain Pass Theorem
MaRDI profile type: Publication
Wikidata QID: Q115233152
cites work: Q3431230
cites work: Dual variational methods in critical point theory and applications
cites work: Existence of solutions to Δλ-Laplace equations without the Ambrosetti–Rabinowitz condition
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Q3876715
cites work: Sull'esistenza di autovalori per un problema al contorno non lineare
cites work: An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality
cites work: Q4024765
cites work: ON A CLASS OF HYPOELLIPTIC OPERATORS
cites work: The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II
cites work: The Yamabe problem on CR manifolds
cites work: On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
cites work: Q4683390
cites work: N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
cites work: Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
cites work: The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
cites work: Solutions to semilinear elliptic problems with combined nonlinearities
cites work: On superlinear problems without the Ambrosetti and Rabinowitz condition
cites work: On the Ambrosetti-Rabinowitz Superlinear Condition
cites work: Two nontrivial solutions of boundary-value problems for semilinear \(\Delta_\gamma\)-differential equations
cites work: Existence of nontrivial solution for fourth-order semilinear Δ γ -Laplace equation in <mml:math xmlns:mml="http
cites work: Existence of solutions to boundary-value problems for semilinear \(\Delta_\gamma\) differential equations
cites work: Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator
cites work: Large-time behavior of solutions to degenerate damped hyperbolic equations
cites work: Existence of infinitely many solutions for semilinear degenerate Schrödinger equations
cites work: Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: Q3749777
cites work: Superlinear problems
cites work: Some existence and nonexistence results for boundary value problems for semilinear elliptic degenerate operators
cites work: Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations
cites work: Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators
cites work: Critical Sobolev exponent for degenerate elliptic operators
cites work: On Grushin's equation
full work available at URL: am.2021.0363-19
OpenAlex ID: W3128382850
description: scientific article; zbMATH DE number 7396164